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486649944 = 233411671019
BaseRepresentation
bin11101000000011…
…011000001011000
31020220201101020000
4131000123001120
51444040244234
6120142333000
715026312334
oct3500330130
91226641200
10486649944
1122a779340
12116b8a160
1379a8c761
14488bc7c4
152cacc899
hex1d01b058

486649944 has 160 divisors (see below), whose sum is σ = 1510660800. Its totient is φ = 145126080.

The previous prime is 486649921. The next prime is 486649967. The reversal of 486649944 is 449946684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (486649921) and next prime (486649967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 477067 + ... + 478085.

It is an arithmetic number, because the mean of its divisors is an integer number (9441630).

Almost surely, 2486649944 is an apocalyptic number.

486649944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

486649944 is the 11792-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486649944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755330400).

486649944 is an abundant number, since it is smaller than the sum of its proper divisors (1024010856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

486649944 is a wasteful number, since it uses less digits than its factorization.

486649944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1102 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 486649944 is about 22060.1437891959. The cubic root of 486649944 is about 786.5727426247.

The spelling of 486649944 in words is "four hundred eighty-six million, six hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 81 88 99 108 132 134 162 198 201 216 264 268 297 324 396 402 536 594 603 648 737 792 804 891 1019 1188 1206 1474 1608 1782 1809 2038 2211 2376 2412 2948 3057 3564 3618 4076 4422 4824 5427 5896 6114 6633 7128 7236 8152 8844 9171 10854 11209 12228 13266 14472 17688 18342 19899 21708 22418 24456 26532 27513 33627 36684 39798 43416 44836 53064 55026 59697 67254 68273 73368 79596 82539 89672 100881 110052 119394 134508 136546 159192 165078 201762 204819 220104 238788 269016 273092 302643 330156 403524 409638 477576 546184 605286 614457 660312 751003 807048 819276 907929 1210572 1228914 1502006 1638552 1815858 1843371 2253009 2421144 2457828 3004012 3631716 3686742 4506018 4915656 5530113 6008024 6759027 7263432 7373484 9012036 11060226 13518054 14746968 18024072 20277081 22120452 27036108 40554162 44240904 54072216 60831243 81108324 121662486 162216648 243324972 486649944