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64326096 = 24331719461
BaseRepresentation
bin1111010101100…
…0100111010000
311111001002211000
43311120213100
5112431413341
610214422000
71410522432
oct365304720
9144032730
1064326096
113334616a
1219661900
13104330a3
148786652
1559a98b6
hex3d589d0

64326096 has 160 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 19077120.

The previous prime is 64326083. The next prime is 64326103. The reversal of 64326096 is 69062346.

64326096 is a `hidden beast` number, since 6 + 43 + 2 + 609 + 6 = 666.

64326096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64326096.

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 31 ways as a sum of consecutive naturals, for example, 139306 + ... + 139766.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 264326096 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 64326096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

64326096 is an abundant number, since it is smaller than the sum of its proper divisors (141910704).

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

64326096 is a wasteful number, since it uses less digits than its factorization.

64326096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 64326096 is about 8020.3551043579. The cubic root of 64326096 is about 400.6782160741.

The spelling of 64326096 in words is "sixty-four million, three hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 408 432 456 459 461 513 612 646 684 816 912 918 922 969 1026 1224 1292 1368 1383 1836 1844 1938 2052 2448 2584 2736 2766 2907 3672 3688 3876 4104 4149 5168 5532 5814 7344 7376 7752 7837 8208 8298 8721 8759 11064 11628 12447 15504 15674 16596 17442 17518 22128 23256 23511 24894 26277 31348 33192 34884 35036 46512 47022 49788 52554 62696 66384 69768 70072 70533 78831 94044 99576 105108 125392 139536 140144 141066 148903 157662 188088 199152 210216 211599 236493 282132 297806 315324 376176 420432 423198 446709 472986 564264 595612 630648 846396 893418 945972 1128528 1191224 1261296 1340127 1692792 1786836 1891944 2382448 2680254 3385584 3573672 3783888 4020381 5360508 7147344 8040762 10721016 16081524 21442032 32163048 64326096