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457374016 = 26113112089
BaseRepresentation
bin11011010000101…
…111100101000000
31011212122000012101
4123100233211000
51414041432031
6113215040144
714222420641
oct3320574500
91155560171
10457374016
112151a2960
12109210054
13739ac218
1444a5b6c8
152a248361
hex1b42f940

457374016 has 56 divisors (see below), whose sum is σ = 993769920. Its totient is φ = 207129600.

The previous prime is 457374013. The next prime is 457374037. The reversal of 457374016 is 610473754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457374013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217900 + ... + 219988.

Almost surely, 2457374016 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 457374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496884960).

457374016 is an abundant number, since it is smaller than the sum of its proper divisors (536395904).

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

457374016 is a wasteful number, since it uses less digits than its factorization.

457374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 457374016 is about 21386.3044025844. The cubic root of 457374016 is about 770.4725361745.

It can be divided in two parts, 457 and 374016, that added together give a palindrome (374473).

The spelling of 457374016 in words is "four hundred fifty-seven million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 311 352 622 704 1244 2089 2488 3421 4178 4976 6842 8356 9952 13684 16712 19904 22979 27368 33424 45958 54736 66848 91916 109472 133696 183832 218944 367664 649679 735328 1299358 1470656 2598716 5197432 7146469 10394864 14292938 20789728 28585876 41579456 57171752 114343504 228687008 457374016