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460272252 = 2231131112481
BaseRepresentation
bin11011011011110…
…011001001111100
31012002002020211110
4123123303021330
51420312203002
6113401122020
714256151416
oct3333631174
91162066743
10460272252
112168a23a0
1210a189310
137448545b
14451b39b6
152a61be6c
hex1b6f327c

460272252 has 48 divisors (see below), whose sum is σ = 1209406464. Its totient is φ = 134976000.

The previous prime is 460272247. The next prime is 460272259. The reversal of 460272252 is 252272064.

It is a super-2 number, since 2×4602722522 = 423701091922303008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460272259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52149 + ... + 60332.

It is an arithmetic number, because the mean of its divisors is an integer number (25195968).

Almost surely, 2460272252 is an apocalyptic number.

It is an amenable number.

460272252 is an abundant number, since it is smaller than the sum of its proper divisors (749134212).

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

460272252 is a wasteful number, since it uses less digits than its factorization.

460272252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112530 (or 112528 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 460272252 is about 21453.9565581736. The cubic root of 460272252 is about 772.0965251979.

The spelling of 460272252 in words is "four hundred sixty million, two hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 112481 224962 337443 449924 674886 1237291 1349772 2474582 3486911 3711873 4949164 6973822 7423746 10460733 13947644 14847492 20921466 38356021 41842932 76712042 115068063 153424084 230136126 460272252