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460252364 = 2211135471471
BaseRepresentation
bin11011011011101…
…110010011001100
31012002001020112212
4123123232103030
51420311033424
6113400445552
714256036425
oct3333562314
91162036485
10460252364
11216889460
1210a1798b8
13744793a0
14451aa64c
152a61610e
hex1b6ee4cc

460252364 has 48 divisors (see below), whose sum is σ = 948627456. Its totient is φ = 192628800.

The previous prime is 460252363. The next prime is 460252369. The reversal of 460252364 is 463252064.

It is a self number, because there is not a number n which added to its sum of digits gives 460252364.

It is not an unprimeable number, because it can be changed into a prime (460252363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312149 + ... + 313619.

It is an arithmetic number, because the mean of its divisors is an integer number (19763072).

Almost surely, 2460252364 is an apocalyptic number.

460252364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460252364 is an abundant number, since it is smaller than the sum of its proper divisors (488375092).

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

460252364 is a wasteful number, since it uses less digits than its factorization.

460252364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 460252364 is about 21453.4930489186. The cubic root of 460252364 is about 772.0854044777.

The spelling of 460252364 in words is "four hundred sixty million, two hundred fifty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 547 572 1094 1471 2188 2942 5884 6017 7111 12034 14222 16181 19123 24068 28444 32362 38246 64724 76492 78221 156442 210353 312884 420706 804637 841412 1609274 3218548 8851007 10460281 17702014 20920562 35404028 41841124 115063091 230126182 460252364