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629968864 = 25717198707
BaseRepresentation
bin100101100011001…
…000111111100000
31121220101201211011
4211203020333200
52242233000424
6142302230304
721416434630
oct4543107740
91556351734
10629968864
112a3667a28
12156b85394
13a068c655
145d9486c0
153a48c694
hex258c8fe0

629968864 has 96 divisors (see below), whose sum is σ = 1579979520. Its totient is φ = 240703488.

The previous prime is 629968853. The next prime is 629968957. The reversal of 629968864 is 468869926.

It is a junction number, because it is equal to n+sod(n) for n = 629968799 and 629968808.

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, 67999 + ... + 76705.

It is an arithmetic number, because the mean of its divisors is an integer number (16458120).

Almost surely, 2629968864 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 629968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789989760).

629968864 is an abundant number, since it is smaller than the sum of its proper divisors (950010656).

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

629968864 is a wasteful number, since it uses less digits than its factorization.

629968864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8752 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 58.

The square root of 629968864 is about 25099.1805443923. The cubic root of 629968864 is about 857.2477654028.

The spelling of 629968864 in words is "six hundred twenty-nine million, nine hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1904 2128 2261 2584 3808 4256 4522 5168 8707 9044 10336 17414 18088 34828 36176 60949 69656 72352 121898 139312 148019 165433 243796 278624 296038 330866 487592 592076 661732 975184 1036133 1158031 1184152 1323464 1950368 2072266 2316062 2368304 2646928 2812361 4144532 4632124 4736608 5293856 5624722 8289064 9264248 11249444 16578128 18528496 19686527 22498888 33156256 37056992 39373054 44997776 78746108 89995552 157492216 314984432 629968864