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460881652 = 227211241887
BaseRepresentation
bin11011011110000…
…111111011110100
31012010020012202211
4123132013323310
51420441203102
6113422143204
714264300200
oct3336077364
91163205684
10460881652
11217179230
1210a421b04
137463994a
14452d1b00
152a6dc7d7
hex1b787ef4

460881652 has 72 divisors (see below), whose sum is σ = 1028922048. Its totient is φ = 178617600.

The previous prime is 460881647. The next prime is 460881683. The reversal of 460881652 is 256188064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519153 + ... + 520039.

It is an arithmetic number, because the mean of its divisors is an integer number (14290584).

Almost surely, 2460881652 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 460881652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514461024).

460881652 is an abundant number, since it is smaller than the sum of its proper divisors (568040396).

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

460881652 is a wasteful number, since it uses less digits than its factorization.

460881652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 460881652 is about 21468.1543687388. The cubic root of 460881652 is about 772.4371265985.

The spelling of 460881652 in words is "four hundred sixty million, eight hundred eighty-one thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 241 308 482 539 887 964 1078 1687 1774 2156 2651 3374 3548 5302 6209 6748 9757 10604 11809 12418 18557 19514 23618 24836 37114 39028 43463 47236 68299 74228 86926 129899 136598 173852 213767 259798 273196 427534 478093 519596 855068 956186 1496369 1912372 2351437 2992738 4702874 5985476 9405748 10474583 16460059 20949166 32920118 41898332 65840236 115220413 230440826 460881652