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461057472 = 2632800447
BaseRepresentation
bin11011011110110…
…010110111000000
31012010120010221200
4123132302313000
51421012314342
6113430021200
714265631611
oct3336626700
91163503850
10461057472
11217289337
1210a4a7800
137469b995
1445339c08
152a72494c
hex1b7b2dc0

461057472 has 42 divisors (see below), whose sum is σ = 1321539648. Its totient is φ = 153685632.

The previous prime is 461057461. The next prime is 461057479. The reversal of 461057472 is 274750164.

461057472 is a `hidden beast` number, since 4 + 6 + 10 + 574 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461057479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399648 + ... + 400799.

Almost surely, 2461057472 is an apocalyptic number.

It is an amenable number.

461057472 is an abundant number, since it is smaller than the sum of its proper divisors (860482176).

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

461057472 is a wasteful number, since it uses less digits than its factorization.

461057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800465 (or 800452 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 461057472 is about 21472.2488808229. The cubic root of 461057472 is about 772.5353388176.

The spelling of 461057472 in words is "four hundred sixty-one million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 800447 1600894 2401341 3201788 4802682 6403576 7204023 9605364 12807152 14408046 19210728 25614304 28816092 38421456 51228608 57632184 76842912 115264368 153685824 230528736 461057472