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64238496 = 2537109877
BaseRepresentation
bin1111010100001…
…1001110100000
311110212122122120
43311003032200
5112421112441
610212504240
71410006150
oct365031640
9143778576
1064238496
1133296373
121961b080
131040225a
148762760
15598d966
hex3d433a0

64238496 has 96 divisors (see below), whose sum is σ = 194705280. Its totient is φ = 18164736.

The previous prime is 64238483. The next prime is 64238501. The reversal of 64238496 is 69483246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 72810 + ... + 73686.

It is an arithmetic number, because the mean of its divisors is an integer number (2028180).

Almost surely, 264238496 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 64238496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97352640).

64238496 is an abundant number, since it is smaller than the sum of its proper divisors (130466784).

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

64238496 is a wasteful number, since it uses less digits than its factorization.

64238496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 64238496 is about 8014.8921390122. The cubic root of 64238496 is about 400.4962507500.

The spelling of 64238496 in words is "sixty-four million, two hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 877 1308 1526 1744 1754 2289 2616 2631 3052 3488 3508 4578 5232 5262 6104 6139 7016 9156 10464 10524 12208 12278 14032 18312 18417 21048 24416 24556 28064 36624 36834 42096 49112 73248 73668 84192 95593 98224 147336 191186 196448 286779 294672 382372 573558 589344 669151 764744 1147116 1338302 1529488 2007453 2294232 2676604 3058976 4014906 4588464 5353208 8029812 9176928 10706416 16059624 21412832 32119248 64238496