Search a number
-
+
64528704 = 2633107349
BaseRepresentation
bin1111011000101…
…0000101000000
311111102101202000
43312022011000
5113004404304
610223024000
71412325222
oct366120500
9144371660
1064528704
1133474409
121973b000
13104a4386
1487da412
1559e9939
hex3d8a140

64528704 has 112 divisors (see below), whose sum is σ = 192024000. Its totient is φ = 21247488.

The previous prime is 64528699. The next prime is 64528721. The reversal of 64528704 is 40782546.

64528704 is a `hidden beast` number, since 64 + 528 + 70 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184722 + ... + 185070.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 264528704 is an apocalyptic number.

64528704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012000).

64528704 is an abundant number, since it is smaller than the sum of its proper divisors (127495296).

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

64528704 is a wasteful number, since it uses less digits than its factorization.

64528704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 64528704 is about 8032.9760363143. The cubic root of 64528704 is about 401.0984474385.

The spelling of 64528704 in words is "sixty-four million, five hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 144 192 214 216 288 321 349 428 432 576 642 698 856 864 963 1047 1284 1396 1712 1728 1926 2094 2568 2792 2889 3141 3424 3852 4188 5136 5584 5778 6282 6848 7704 8376 9423 10272 11168 11556 12564 15408 16752 18846 20544 22336 23112 25128 30816 33504 37343 37692 46224 50256 61632 67008 74686 75384 92448 100512 112029 149372 150768 184896 201024 224058 298744 301536 336087 448116 597488 603072 672174 896232 1008261 1194976 1344348 1792464 2016522 2389952 2688696 3584928 4033044 5377392 7169856 8066088 10754784 16132176 21509568 32264352 64528704