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916489664 = 26113353359
BaseRepresentation
bin110110101000001…
…000010111000000
32100212112111110122
4312220020113000
53334110132124
6230535315412
731466014346
oct6650102700
92325474418
10916489664
11430375282
12216b1bb68
13117b4b09c
1489a0d996
15556d775e
hex36a085c0

916489664 has 56 divisors (see below), whose sum is σ = 1845076320. Its totient is φ = 451641344.

The previous prime is 916489663. The next prime is 916489709. The reversal of 916489664 is 466984619.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916489661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2552717 + ... + 2553075.

Almost surely, 2916489664 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 916489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922538160).

916489664 is an abundant number, since it is smaller than the sum of its proper divisors (928586656).

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

916489664 is a wasteful number, since it uses less digits than its factorization.

916489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 916489664 is about 30273.5802970181. The cubic root of 916489664 is about 971.3502519162.

The spelling of 916489664 in words is "nine hundred sixteen million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 226 353 359 452 706 718 904 1412 1436 1808 2824 2872 3616 5648 5744 7232 11296 11488 22592 22976 39889 40567 79778 81134 126727 159556 162268 253454 319112 324536 506908 638224 649072 1013816 1276448 1298144 2027632 2552896 2596288 4055264 8110528 14320151 28640302 57280604 114561208 229122416 458244832 916489664