Search a number
-
+
682078464 = 2832296041
BaseRepresentation
bin101000101001111…
…011000100000000
31202112110011202100
4220221323010000
52344103002324
6151403150400
722621366644
oct5051730400
91675404670
10682078464
11320019711
12170515400
13ab406032
1466830c24
153ed324c9
hex28a7b100

682078464 has 54 divisors (see below), whose sum is σ = 1966607006. Its totient is φ = 227358720.

The previous prime is 682078457. The next prime is 682078531. The reversal of 682078464 is 464870286.

It can be written as a sum of positive squares in only one way, i.e., 585252864 + 96825600 = 24192^2 + 9840^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 145717 + ... + 150324.

Almost surely, 2682078464 is an apocalyptic number.

682078464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

682078464 is an abundant number, since it is smaller than the sum of its proper divisors (1284528542).

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

682078464 is a wasteful number, since it uses less digits than its factorization.

682078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296063 (or 296046 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 682078464 is about 26116.6319421169. The cubic root of 682078464 is about 880.2609694322.

The spelling of 682078464 in words is "six hundred eighty-two million, seventy-eight thousand, four hundred sixty-four".

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 296041 592082 888123 1184164 1776246 2368328 2664369 3552492 4736656 5328738 7104984 9473312 10657476 14209968 18946624 21314952 28419936 37893248 42629904 56839872 75786496 85259808 113679744 170519616 227359488 341039232 682078464