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928164040 = 235137169373
BaseRepresentation
bin110111010100101…
…010100011001000
32101200111121200221
4313110222203020
53400102222130
6232033435424
732000156416
oct6724524310
92350447627
10928164040
11436a19421
1221aa0bb74
1311a3a7abb
148b3ac2b6
155674187a
hex3752a8c8

928164040 has 32 divisors (see below), whose sum is σ = 2103625080. Its totient is φ = 368553472.

The previous prime is 928164019. The next prime is 928164049. The reversal of 928164040 is 40461829.

It can be written as a sum of positive squares in 4 ways, for example, as 680479396 + 247684644 = 26086^2 + 15738^2 .

It is a super-2 number, since 2×9281640402 = 1722976970298243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 928163987 and 928164005.

It is not an unprimeable number, because it can be changed into a prime (928164049) 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, 79207 + ... + 90166.

Almost surely, 2928164040 is an apocalyptic number.

It is an amenable number.

928164040 is an abundant number, since it is smaller than the sum of its proper divisors (1175461040).

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

928164040 is a wasteful number, since it uses less digits than its factorization.

928164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169521 (or 169517 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 928164040 is about 30465.7847428882. The cubic root of 928164040 is about 975.4572617387.

The spelling of 928164040 in words is "nine hundred twenty-eight million, one hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 169373 338746 677492 846865 1354984 1693730 3387460 6774920 23204101 46408202 92816404 116020505 185632808 232041010 464082020 928164040