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64538496 = 2732112463
BaseRepresentation
bin1111011000110…
…0011110000000
311111102220011200
43312030132000
5113010212441
610223141200
71412365611
oct366143600
9144386150
1064538496
1133480800
1219744800
13104a8979
1487ddc08
1559ec7b6
hex3d8c780

64538496 has 144 divisors (see below), whose sum is σ = 204575280. Its totient is φ = 19514880.

The previous prime is 64538491. The next prime is 64538519. The reversal of 64538496 is 69483546.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64538491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139161 + ... + 139623.

Almost surely, 264538496 is an apocalyptic number.

64538496 is a gapful number since it is divisible by the number (66) 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 64538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102287640).

64538496 is an abundant number, since it is smaller than the sum of its proper divisors (140036784).

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

64538496 is a wasteful number, since it uses less digits than its factorization.

64538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 64538496 is about 8033.5855008832. The cubic root of 64538496 is about 401.1187348306.

The spelling of 64538496 in words is "sixty-four million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 463 484 528 576 704 726 792 926 968 1056 1089 1152 1389 1408 1452 1584 1852 1936 2112 2178 2778 2904 3168 3704 3872 4167 4224 4356 5093 5556 5808 6336 7408 7744 8334 8712 10186 11112 11616 12672 14816 15279 15488 16668 17424 20372 22224 23232 29632 30558 33336 34848 40744 44448 45837 46464 56023 59264 61116 66672 69696 81488 88896 91674 112046 122232 133344 139392 162976 168069 177792 183348 224092 244464 266688 325952 336138 366696 448184 488928 504207 533376 651904 672276 733392 896368 977856 1008414 1344552 1466784 1792736 1955712 2016828 2689104 2933568 3585472 4033656 5378208 5867136 7170944 8067312 10756416 16134624 21512832 32269248 64538496