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64132904 = 2311319317
BaseRepresentation
bin1111010010100…
…1011100101000
311110200021210202
43310221130220
5112404223104
610210331332
71406056253
oct364513450
9143607722
1064132904
1133224000
1219589b48
1310396184
14873609a
15596c51e
hex3d29728

64132904 has 64 divisors (see below), whose sum is σ = 139665600. Its totient is φ = 27529920.

The previous prime is 64132903. The next prime is 64132919. The reversal of 64132904 is 40923146.

64132904 = T101 + T102 + ... + T727.

64132904 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 2×641329042 = 8226058750946432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64132903) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 202154 + ... + 202470.

It is an arithmetic number, because the mean of its divisors is an integer number (2182275).

Almost surely, 264132904 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 64132904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69832800).

64132904 is an abundant number, since it is smaller than the sum of its proper divisors (75532696).

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

64132904 is a wasteful number, since it uses less digits than its factorization.

64132904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 64132904 is about 8008.3021921004. The cubic root of 64132904 is about 400.2766918932.

The spelling of 64132904 in words is "sixty-four million, one hundred thirty-two thousand, nine hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 317 418 484 634 836 968 1268 1331 1672 2299 2536 2662 3487 4598 5324 6023 6974 9196 10648 12046 13948 18392 24092 25289 27896 38357 48184 50578 66253 76714 101156 132506 153428 202312 265012 306856 421927 530024 728783 843854 1457566 1687708 2915132 3375416 5830264 8016613 16033226 32066452 64132904