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457042632 = 23325774099
BaseRepresentation
bin11011001111011…
…110101011001000
31011212000011121220
4123033132223020
51414000331012
6113204002040
714216540544
oct3317365310
91155004556
10457042632
11214a96992
12109090320
13738c4437
14449b2a24
152a1d008c
hex1b3deac8

457042632 has 32 divisors (see below), whose sum is σ = 1147068000. Its totient is φ = 151752704.

The previous prime is 457042609. The next prime is 457042633. The reversal of 457042632 is 236240754.

It is a junction number, because it is equal to n+sod(n) for n = 457042593 and 457042602.

It is not an unprimeable number, because it can be changed into a prime (457042633) 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 7 ways as a sum of consecutive naturals, for example, 30882 + ... + 43217.

It is an arithmetic number, because the mean of its divisors is an integer number (35845875).

Almost surely, 2457042632 is an apocalyptic number.

It is an amenable number.

457042632 is an abundant number, since it is smaller than the sum of its proper divisors (690025368).

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

457042632 is a wasteful number, since it uses less digits than its factorization.

457042632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74365 (or 74361 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 457042632 is about 21378.5554236015. Note that the first 3 decimals coincide. The cubic root of 457042632 is about 770.2864128194.

The spelling of 457042632 in words is "four hundred fifty-seven million, forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 257 514 771 1028 1542 2056 3084 6168 74099 148198 222297 296396 444594 592792 889188 1778376 19043443 38086886 57130329 76173772 114260658 152347544 228521316 457042632