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64069152 = 2537671423
BaseRepresentation
bin1111010001100…
…1111000100000
311110120001100120
43310121320200
5112400203102
610205120240
71405402350
oct364317040
9143501316
1064069152
1133190114
1219559080
1310373154
14871ab60
1559586bc
hex3d19e20

64069152 has 96 divisors (see below), whose sum is σ = 195213312. Its totient is φ = 18019584.

The previous prime is 64069133. The next prime is 64069153. The reversal of 64069152 is 25196046.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (64069153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44313 + ... + 45735.

It is an arithmetic number, because the mean of its divisors is an integer number (2033472).

Almost surely, 264069152 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 64069152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97606656).

64069152 is an abundant number, since it is smaller than the sum of its proper divisors (131144160).

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

64069152 is a wasteful number, since it uses less digits than its factorization.

64069152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 64069152 is about 8004.3208331501. The cubic root of 64069152 is about 400.1440148098.

The spelling of 64069152 in words is "sixty-four million, sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 672 804 938 1072 1407 1423 1608 1876 2144 2814 2846 3216 3752 4269 5628 5692 6432 7504 8538 9961 11256 11384 15008 17076 19922 22512 22768 29883 34152 39844 45024 45536 59766 68304 79688 95341 119532 136608 159376 190682 239064 286023 318752 381364 478128 572046 667387 762728 956256 1144092 1334774 1525456 2002161 2288184 2669548 3050912 4004322 4576368 5339096 8008644 9152736 10678192 16017288 21356384 32034576 64069152