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830637568 = 2937163269
BaseRepresentation
bin110001100000101…
…000011000000000
32010212222202112101
4301200220120000
53200120400233
6214231240144
726404205605
oct6140503000
92125882471
10830637568
11396967332
121b2219054
1310311c127
147c4626ac
154cdc9c7d
hex31828600

830637568 has 80 divisors (see below), whose sum is σ = 1721340720. Its totient is φ = 400121856.

The previous prime is 830637557. The next prime is 830637583. The reversal of 830637568 is 865736038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3087738 + ... + 3088006.

It is an arithmetic number, because the mean of its divisors is an integer number (21516759).

Almost surely, 2830637568 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 830637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860670360).

830637568 is an abundant number, since it is smaller than the sum of its proper divisors (890703152).

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

830637568 is a wasteful number, since it uses less digits than its factorization.

830637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 830637568 is about 28820.7836118312. The cubic root of 830637568 is about 940.0202078046.

The spelling of 830637568 in words is "eight hundred thirty million, six hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 163 256 269 296 326 512 538 592 652 1076 1184 1304 2152 2368 2608 4304 4736 5216 6031 8608 9472 9953 10432 12062 17216 18944 19906 20864 24124 34432 39812 41728 43847 48248 68864 79624 83456 87694 96496 137728 159248 175388 192992 318496 350776 385984 636992 701552 771968 1273984 1403104 1543936 1622339 2547968 2806208 3087872 3244678 5095936 5612416 6489356 11224832 12978712 22449664 25957424 51914848 103829696 207659392 415318784 830637568