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482737164 = 223713617247
BaseRepresentation
bin11100110001011…
…111110000001100
31020122100120220020
4130301133300030
51442040042124
6115522422140
714651124660
oct3461376014
91218316806
10482737164
11228546638
12115801950
137901c7c0
14481808a0
152c5a8379
hex1cc5fc0c

482737164 has 96 divisors (see below), whose sum is σ = 1409243136. Its totient is φ = 125210880.

The previous prime is 482737159. The next prime is 482737169. The reversal of 482737164 is 461737284.

It is an interprime number because it is at equal distance from previous prime (482737159) and next prime (482737169).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (482737169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62989 + ... + 70235.

It is an arithmetic number, because the mean of its divisors is an integer number (14679616).

Almost surely, 2482737164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482737164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704621568).

482737164 is an abundant number, since it is smaller than the sum of its proper divisors (926505972).

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

482737164 is a wasteful number, since it uses less digits than its factorization.

482737164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7333 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 482737164 is about 21971.2804360602. The cubic root of 482737164 is about 784.4589908292.

The spelling of 482737164 in words is "four hundred eighty-two million, seven hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 364 366 427 546 732 793 854 1092 1281 1586 1708 2379 2562 3172 4758 5124 5551 7247 9516 11102 14494 16653 21741 22204 28988 33306 43482 50729 66612 86964 94211 101458 152187 188422 202916 282633 304374 376844 442067 565266 608748 659477 884134 1130532 1318954 1326201 1768268 1978431 2637908 2652402 3094469 3956862 5304804 5746871 6188938 7913724 9283407 11493742 12377876 17240613 18566814 22987484 34481226 37133628 40228097 68962452 80456194 120684291 160912388 241368582 482737164