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628630794 = 23511176917
BaseRepresentation
bin100101011110000…
…010010100001010
31121210212202100000
4211132002110022
52241412141134
6142213423430
721402162561
oct4536022412
91553782300
10628630794
112a2933690
1215663ab76
13a03115ac
145d6babd8
153a2c5e99
hex2578250a

628630794 has 96 divisors (see below), whose sum is σ = 1631762496. Its totient is φ = 179262720.

The previous prime is 628630771. The next prime is 628630817. The reversal of 628630794 is 497036826.

628630794 is a `hidden beast` number, since 6 + 2 + 8 + 630 + 7 + 9 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (628630771) and next prime (628630817).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87424 + ... + 94340.

It is an arithmetic number, because the mean of its divisors is an integer number (16997526).

Almost surely, 2628630794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628630794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815881248).

628630794 is an abundant number, since it is smaller than the sum of its proper divisors (1003131702).

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

628630794 is a wasteful number, since it uses less digits than its factorization.

628630794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 628630794 is about 25072.5107238984. The cubic root of 628630794 is about 856.6403964416.

The spelling of 628630794 in words is "six hundred twenty-eight million, six hundred thirty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 243 297 306 374 459 486 561 594 891 918 1122 1377 1683 1782 2673 2754 3366 4131 5049 5346 6917 8262 10098 13834 15147 20751 30294 41502 45441 62253 76087 90882 117589 124506 152174 186759 228261 235178 352767 373518 456522 560277 684783 705534 1058301 1120554 1293479 1369566 1680831 2054349 2116602 2586958 3174903 3361662 3880437 4108698 6163047 6349806 7760874 9524709 11641311 12326094 18489141 19049418 23282622 28574127 34923933 36978282 57148254 69847866 104771799 209543598 314315397 628630794