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481649112 = 23337461691
BaseRepresentation
bin11100101101010…
…110000111011000
31020120022022101000
4130231112013120
51441300232422
6115443225000
714635643550
oct3455260730
91216268330
10481649112
1122797311a
12115378160
1378a2b499
1447d7a160
152c440cac
hex1cb561d8

481649112 has 128 divisors (see below), whose sum is σ = 1534579200. Its totient is φ = 137116800.

The previous prime is 481649101. The next prime is 481649123. The reversal of 481649112 is 211946184.

481649112 is a `hidden beast` number, since 4 + 8 + 1 + 649 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (481649101) and next prime (481649123).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696687 + ... + 697377.

It is an arithmetic number, because the mean of its divisors is an integer number (11988900).

Almost surely, 2481649112 is an apocalyptic number.

481649112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481649112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767289600).

481649112 is an abundant number, since it is smaller than the sum of its proper divisors (1052930088).

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

481649112 is a wasteful number, since it uses less digits than its factorization.

481649112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 481649112 is about 21946.5056899726. The cubic root of 481649112 is about 783.8691776370.

The spelling of 481649112 in words is "four hundred eighty-one million, six hundred forty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 461 504 691 756 922 1382 1383 1512 1844 2073 2764 2766 3227 3688 4146 4149 4837 5528 5532 6219 6454 8292 8298 9674 9681 11064 12438 12447 12908 14511 16584 16596 18657 19348 19362 24876 24894 25816 29022 29043 33192 37314 38696 38724 43533 49752 49788 58044 58086 74628 77448 87066 87129 99576 116088 116172 130599 149256 174132 174258 232344 261198 318551 348264 348516 522396 637102 697032 955653 1044792 1274204 1911306 2229857 2548408 2866959 3822612 4459714 5733918 6689571 7645224 8600877 8919428 11467836 13379142 17201754 17838856 20068713 22935672 26758284 34403508 40137426 53516568 60206139 68807016 80274852 120412278 160549704 240824556 481649112