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64233376 = 2519293643
BaseRepresentation
bin1111010100000…
…1111110100000
311110212101121221
43311001332200
5112420432001
610212424424
71406655214
oct365017640
9143771557
1064233376
1133292539
1219618114
13103ccb1c
148760944
15598c1a1
hex3d41fa0

64233376 has 48 divisors (see below), whose sum is σ = 137743200. Its totient is φ = 29369088.

The previous prime is 64233353. The next prime is 64233413. The reversal of 64233376 is 67333246.

64233376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15811 + ... + 19453.

It is an arithmetic number, because the mean of its divisors is an integer number (2869650).

Almost surely, 264233376 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 64233376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68871600).

64233376 is an abundant number, since it is smaller than the sum of its proper divisors (73509824).

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

64233376 is a wasteful number, since it uses less digits than its factorization.

64233376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3693 counting only the distinct ones).

The product of its digits is 54432, while the sum is 34.

The square root of 64233376 is about 8014.5727272263. The cubic root of 64233376 is about 400.4856102182.

The spelling of 64233376 in words is "sixty-four million, two hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 3643 4408 7286 8816 14572 17632 29144 58288 69217 105647 116576 138434 211294 276868 422588 553736 845176 1107472 1690352 2007293 2214944 3380704 4014586 8029172 16058344 32116688 64233376