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4076704 = 252329191
BaseRepresentation
bin1111100011010010100000
321200010012001
433203102200
52020423304
6223213344
746436302
oct17432240
97603161
104076704
112334985
121447254
13ac9768
14781972
15557da4
hex3e34a0

4076704 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1872640.

The previous prime is 4076647. The next prime is 4076713.

4076704 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21249 + ... + 21439.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 24076704 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 4076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

4076704 is an abundant number, since it is smaller than the sum of its proper divisors (4632416).

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

4076704 is a wasteful number, since it uses less digits than its factorization.

4076704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4076704 is about 2019.0849412543. The cubic root of 4076704 is about 159.7483544231.

The spelling of 4076704 in words is "four million, seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 191 232 368 382 464 667 736 764 928 1334 1528 2668 3056 4393 5336 5539 6112 8786 10672 11078 17572 21344 22156 35144 44312 70288 88624 127397 140576 177248 254794 509588 1019176 2038352 4076704