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629675904 = 273111311467
BaseRepresentation
bin100101100010000…
…001011110000000
31121212211211221210
4211202001132000
52242144112104
6142252050120
721414104544
oct4542013600
91555754853
10629675904
112a3487910
12156a63940
13a05b91c0
145d8ada24
153a430989
hex25881780

629675904 has 128 divisors (see below), whose sum is σ = 1965156480. Its totient is φ = 176117760.

The previous prime is 629675867. The next prime is 629675933. The reversal of 629675904 is 409576926.

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 (48).

It is a congruent number.

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, 49179 + ... + 60645.

It is an arithmetic number, because the mean of its divisors is an integer number (15352785).

Almost surely, 2629675904 is an apocalyptic number.

629675904 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 629675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982578240).

629675904 is an abundant number, since it is smaller than the sum of its proper divisors (1335480576).

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

629675904 is a wasteful number, since it uses less digits than its factorization.

629675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 629675904 is about 25093.3438186305. The cubic root of 629675904 is about 857.1148602919.

The spelling of 629675904 in words is "six hundred twenty-nine million, six hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 11467 13728 18304 22934 27456 34401 45868 54912 68802 91736 126137 137604 149071 183472 252274 275208 298142 366944 378411 447213 504548 550416 596284 733888 756822 894426 1009096 1100832 1192568 1467776 1513644 1639781 1788852 2018192 2201664 2385136 3027288 3279562 3577704 4036384 4403328 4770272 4919343 6054576 6559124 7155408 8072768 9540544 9838686 12109152 13118248 14310816 16145536 19081088 19677372 24218304 26236496 28621632 39354744 48436608 52472992 57243264 78709488 104945984 157418976 209891968 314837952 629675904