Search a number
-
+
76974336 = 283233409
BaseRepresentation
bin1001001011010…
…00100100000000
312100211200221100
410211220210000
5124201134321
611345454400
71623161655
oct445504400
9170750840
1076974336
113a4a4a5a
1221941400
1312c4115a
14a319c2c
156b57326
hex4968900

76974336 has 54 divisors (see below), whose sum is σ = 221942630. Its totient is φ = 25657344.

The previous prime is 76974329. The next prime is 76974347. The reversal of 76974336 is 63347967.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 23040000 = 7344^2 + 4800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76974291 and 76974300.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14401 + ... + 19008.

Almost surely, 276974336 is an apocalyptic number.

It is an amenable number.

76974336 is an abundant number, since it is smaller than the sum of its proper divisors (144968294).

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

76974336 is a wasteful number, since it uses less digits than its factorization.

76974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33431 (or 33414 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 76974336 is about 8773.5019234055. The cubic root of 76974336 is about 425.3848159387.

The spelling of 76974336 in words is "seventy-six million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 33409 66818 100227 133636 200454 267272 300681 400908 534544 601362 801816 1069088 1202724 1603632 2138176 2405448 3207264 4276352 4810896 6414528 8552704 9621792 12829056 19243584 25658112 38487168 76974336