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8076964 = 2274292
BaseRepresentation
bin11110110011111010100100
3120012100111211
4132303322210
54031430324
6445041204
7125440000
oct36637244
916170454
108076964
114617385
122856204
13189a48c
141103700
15a98294
hex7b3ea4

8076964 has 45 divisors (see below), whose sum is σ = 17077697. Its totient is φ = 3342192.

The previous prime is 8076961. The next prime is 8076973. The reversal of 8076964 is 4696708.

The square root of 8076964 is 2842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4235364 + 3841600 = 2058^2 + 1960^2 .

It is not an unprimeable number, because it can be changed into a prime (8076961) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 278502 + ... + 278530.

Almost surely, 28076964 is an apocalyptic number.

8076964 is the 2842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8076964

8076964 is an abundant number, since it is smaller than the sum of its proper divisors (9000733).

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

8076964 is an equidigital number, since it uses as much as digits as its factorization.

8076964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 8076964 is about 200.6393208334.

The spelling of 8076964 in words is "eight million, seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 343 406 686 812 841 1372 1421 1682 2401 2842 3364 4802 5684 5887 9604 9947 11774 19894 23548 39788 41209 69629 82418 139258 164836 278516 288463 576926 1153852 2019241 4038482 8076964