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454360816 = 24713313997
BaseRepresentation
bin11011000101001…
…111111011110000
31011122221220212101
4123011033323300
51412304021231
6113030310144
714155001050
oct3305177360
91148856771
10454360816
11213525008
121081b8354
1373195870
14444b5560
1529d50661
hex1b14fef0

454360816 has 80 divisors (see below), whose sum is σ = 1088027584. Its totient is φ = 178993152.

The previous prime is 454360801. The next prime is 454360843. The reversal of 454360816 is 618063454.

It is a happy number.

It is a super-2 number, since 2×4543608162 = 412887502232371712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 455230 + ... + 456226.

Almost surely, 2454360816 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 454360816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544013792).

454360816 is an abundant number, since it is smaller than the sum of its proper divisors (633666768).

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

454360816 is a wasteful number, since it uses less digits than its factorization.

454360816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 454360816 is about 21315.7410380216. The cubic root of 454360816 is about 768.7768380169.

The spelling of 454360816 in words is "four hundred fifty-four million, three hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 313 364 626 728 997 1252 1456 1994 2191 2504 3988 4069 4382 5008 6979 7976 8138 8764 12961 13958 15952 16276 17528 25922 27916 28483 32552 35056 51844 55832 56966 65104 90727 103688 111664 113932 181454 207376 227864 312061 362908 455728 624122 725816 1248244 1451632 2184427 2496488 4056793 4368854 4992976 8113586 8737708 16227172 17475416 28397551 32454344 34950832 56795102 64908688 113590204 227180408 454360816