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64485376 = 21123372
BaseRepresentation
bin1111010111111…
…1100000000000
311111100012022021
43311333200000
5113002013001
610222051224
71412055004
oct365774000
9144305267
1064485376
11334448aa
1219719b14
131048a737
1487c8704
1559dbba1
hex3d7f800

64485376 has 72 divisors (see below), whose sum is σ = 138279960. Its totient is φ = 30007296.

The previous prime is 64485367. The next prime is 64485383. The reversal of 64485376 is 67358446.

64485376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×644853762 = 8316727435722752, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1742830 + ... + 1742866.

It is an arithmetic number, because the mean of its divisors is an integer number (1920555).

Almost surely, 264485376 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 64485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69139980).

64485376 is an abundant number, since it is smaller than the sum of its proper divisors (73794584).

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

64485376 is an equidigital number, since it uses as much as digits as its factorization.

64485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 62 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 64485376 is about 8030.2787000203. The cubic root of 64485376 is about 401.0086544028.

The spelling of 64485376 in words is "sixty-four million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 256 296 368 512 592 736 851 1024 1184 1369 1472 1702 2048 2368 2738 2944 3404 4736 5476 5888 6808 9472 10952 11776 13616 18944 21904 23552 27232 31487 37888 43808 47104 54464 62974 75776 87616 108928 125948 175232 217856 251896 350464 435712 503792 700928 871424 1007584 1401856 1742848 2015168 2803712 4030336 8060672 16121344 32242688 64485376