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64164048 = 24313312107
BaseRepresentation
bin1111010011000…
…1000011010000
311110201212112020
43310301003100
5112411222143
610211131440
71406246124
oct364610320
9143655466
1064164048
1133245443
12195a3b80
13103a73c0
148743584
155976883
hex3d310d0

64164048 has 120 divisors (see below), whose sum is σ = 186175584. Its totient is φ = 18927360.

The previous prime is 64163993. The next prime is 64164059. The reversal of 64164048 is 84046146.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 599611 + ... + 599717.

Almost surely, 264164048 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 64164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93087792).

64164048 is an abundant number, since it is smaller than the sum of its proper divisors (122011536).

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

64164048 is a wasteful number, since it uses less digits than its factorization.

64164048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 64164048 is about 8010.2464381566. The cubic root of 64164048 is about 400.3414750707.

The spelling of 64164048 in words is "sixty-four million, one hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 107 124 156 186 208 214 248 312 321 372 403 428 496 624 642 744 806 856 961 1209 1284 1391 1488 1612 1712 1922 2418 2568 2782 2883 3224 3317 3844 4173 4836 5136 5564 5766 6448 6634 7688 8346 9672 9951 11128 11532 12493 13268 15376 16692 19344 19902 22256 23064 24986 26536 33384 37479 39804 43121 46128 49972 53072 66768 74958 79608 86242 99944 102827 129363 149916 159216 172484 199888 205654 258726 299832 308481 344968 411308 517452 599664 616962 689936 822616 1034904 1233924 1336751 1645232 2069808 2467848 2673502 4010253 4935696 5347004 8020506 10694008 16041012 21388016 32082024 64164048