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64240896 = 283233359
BaseRepresentation
bin1111010100001…
…1110100000000
311110212202221110
43311003310000
5112421202041
610212523320
71410016146
oct365036400
9143782843
1064240896
1133298155
1219620540
1310403385
148763596
15598e516
hex3d43d00

64240896 has 72 divisors (see below), whose sum is σ = 172186560. Its totient is φ = 21262336.

The previous prime is 64240877. The next prime is 64240901. The reversal of 64240896 is 69804246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178765 + ... + 179123.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 264240896 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 64240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

64240896 is an abundant number, since it is smaller than the sum of its proper divisors (107945664).

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

64240896 is a wasteful number, since it uses less digits than its factorization.

64240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 64240896 is about 8015.0418589050. The cubic root of 64240896 is about 400.5012383047.

The spelling of 64240896 in words is "sixty-four million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 359 384 466 699 718 768 932 1077 1398 1436 1864 2154 2796 2872 3728 4308 5592 5744 7456 8616 11184 11488 14912 17232 22368 22976 29824 34464 44736 45952 59648 68928 83647 89472 91904 137856 167294 178944 250941 275712 334588 501882 669176 1003764 1338352 2007528 2676704 4015056 5353408 8030112 10706816 16060224 21413632 32120448 64240896