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457045420 = 225132323323
BaseRepresentation
bin11011001111011…
…111010110101100
31011212000022110011
4123033133112230
51414000423140
6113204023004
714216551636
oct3317372654
91155008404
10457045420
11214a98a97
12109091a64
13738c57a0
14449b3a56
152a1d0cea
hex1b3df5ac

457045420 has 72 divisors (see below), whose sum is σ = 1080845136. Its totient is φ = 161369472.

The previous prime is 457045411. The next prime is 457045427. The reversal of 457045420 is 24540754.

It is not an unprimeable number, because it can be changed into a prime (457045427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135879 + ... + 139201.

It is an arithmetic number, because the mean of its divisors is an integer number (15011738).

Almost surely, 2457045420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540422568).

457045420 is an abundant number, since it is smaller than the sum of its proper divisors (623799716).

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

457045420 is a wasteful number, since it uses less digits than its factorization.

457045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 457045420 is about 21378.6206290303. The cubic root of 457045420 is about 770.2879790877.

The spelling of 457045420 in words is "four hundred fifty-seven million, forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 529 598 1058 1196 1495 2116 2645 2990 3323 5290 5980 6646 6877 10580 13292 13754 16615 27508 33230 34385 43199 66460 68770 76429 86398 137540 152858 172796 215995 305716 382145 431990 764290 863980 993577 1528580 1757867 1987154 3515734 3974308 4967885 7031468 8789335 9935770 17578670 19871540 22852271 35157340 45704542 91409084 114261355 228522710 457045420