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64997504 = 2711135367
BaseRepresentation
bin1111011111110…
…0100010000000
311112022012210222
43313330202000
5113114410004
610241042212
71416320045
oct367744200
9145265728
1064997504
1133764650
1219926368
1310609880
1488bd1cc
155a8d7be
hex3dfc880

64997504 has 128 divisors (see below), whose sum is σ = 157308480. Its totient is φ = 26357760.

The previous prime is 64997489. The next prime is 64997507. The reversal of 64997504 is 40579946.

64997504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (64997507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 970079 + ... + 970145.

Almost surely, 264997504 is an apocalyptic number.

64997504 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 64997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78654240).

64997504 is an abundant number, since it is smaller than the sum of its proper divisors (92310976).

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

64997504 is a wasteful number, since it uses less digits than its factorization.

64997504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 64997504 is about 8062.1029514637. The cubic root of 64997504 is about 402.0674292641.

The spelling of 64997504 in words is "sixty-four million, nine hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 64 67 88 104 106 128 134 143 176 208 212 268 286 352 416 424 536 572 583 689 704 737 832 848 871 1072 1144 1166 1378 1408 1474 1664 1696 1742 2144 2288 2332 2756 2948 3392 3484 3551 4288 4576 4664 5512 5896 6784 6968 7102 7579 8576 9152 9328 9581 11024 11792 13936 14204 15158 18304 18656 19162 22048 23584 27872 28408 30316 37312 38324 39061 44096 46163 47168 55744 56816 60632 74624 76648 78122 88192 92326 94336 111488 113632 121264 153296 156244 184652 227264 242528 306592 312488 369304 454528 485056 507793 613184 624976 738608 970112 1015586 1226368 1249952 1477216 2031172 2499904 2954432 4062344 4999808 5908864 8124688 16249376 32498752 64997504