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860638464 = 28327174373
BaseRepresentation
bin110011010011000…
…100110100000000
32012222102222000200
4303103010310000
53230310412324
6221222245200
730220210020
oct6323046400
92188388020
10860638464
11401898464
12200286800
131093c463a
1482431a80
1550853ec9
hex334c4d00

860638464 has 432 divisors, whose sum is σ = 3114663552. Its totient is φ = 222953472.

The previous prime is 860638451. The next prime is 860638469. The reversal of 860638464 is 464836068.

860638464 is a `hidden beast` number, since 8 + 6 + 0 + 638 + 4 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860638469) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11789532 + ... + 11789604.

Almost surely, 2860638464 is an apocalyptic number.

860638464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557331776).

860638464 is an abundant number, since it is smaller than the sum of its proper divisors (2254025088).

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

860638464 is a wasteful number, since it uses less digits than its factorization.

860638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 860638464 is about 29336.6402984391. The cubic root of 860638464 is about 951.2038161078.

The spelling of 860638464 in words is "eight hundred sixty million, six hundred thirty-eight thousand, four hundred sixty-four".