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457482072 = 23389214177
BaseRepresentation
bin11011010001001…
…001111101011000
31011212211111102110
4123101021331120
51414103411242
6113221232320
714223350655
oct3321117530
91155744373
10457482072
11215267063
121092626a0
1373a19468
1444a88c2c
152a26a39c
hex1b449f58

457482072 has 32 divisors (see below), whose sum is σ = 1156561200. Its totient is φ = 150779904.

The previous prime is 457482071. The next prime is 457482083. The reversal of 457482072 is 270284754.

It is a super-3 number, since 3×4574820723 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457482072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457482071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104953 + ... + 109224.

Almost surely, 2457482072 is an apocalyptic number.

It is an amenable number.

457482072 is an abundant number, since it is smaller than the sum of its proper divisors (699079128).

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

457482072 is a wasteful number, since it uses less digits than its factorization.

457482072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214275 (or 214271 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 457482072 is about 21388.8305430662. The cubic root of 457482072 is about 770.5332068889.

The spelling of 457482072 in words is "four hundred fifty-seven million, four hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 1068 2136 214177 428354 642531 856708 1285062 1713416 2570124 5140248 19061753 38123506 57185259 76247012 114370518 152494024 228741036 457482072