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64324728 = 233213193617
BaseRepresentation
bin1111010101100…
…0010001111000
311111001000221100
43311120101320
5112431342403
610214411400
71410515436
oct365302170
9144030840
1064324728
1133345136
1219660b60
1310432590
148785d56
1559a92a3
hex3d58478

64324728 has 96 divisors (see below), whose sum is σ = 197542800. Its totient is φ = 18745344.

The previous prime is 64324693. The next prime is 64324769. The reversal of 64324728 is 82742346.

64324728 is a `hidden beast` number, since 643 + 2 + 4 + 7 + 2 + 8 = 666.

64324728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 64324692 and 64324701.

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 23 ways as a sum of consecutive naturals, for example, 15976 + ... + 19592.

Almost surely, 264324728 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 64324728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98771400).

64324728 is an abundant number, since it is smaller than the sum of its proper divisors (133218072).

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

64324728 is a wasteful number, since it uses less digits than its factorization.

64324728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3654 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 64324728 is about 8020.2698208975. The cubic root of 64324728 is about 400.6753756941.

The spelling of 64324728 in words is "sixty-four million, three hundred twenty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 3617 4446 5928 7234 8892 10851 14468 17784 21702 28936 32553 43404 47021 65106 68723 86808 94042 130212 137446 141063 188084 206169 260424 274892 282126 376168 412338 423189 549784 564252 618507 824676 846378 893399 1128504 1237014 1649352 1692756 1786798 2474028 2680197 3385512 3573596 4948056 5360394 7147192 8040591 10720788 16081182 21441576 32162364 64324728