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629690112 = 283430367
BaseRepresentation
bin100101100010000…
…100111100000000
31121212212120110000
4211202010330000
52242200040422
6142252240000
721414164142
oct4542047400
91555776400
10629690112
112a3497557
12156a70000
13a05c27cc
145d8b4c92
153a434cac
hex25884f00

629690112 has 90 divisors (see below), whose sum is σ = 1877683808. Its totient is φ = 209889792.

The previous prime is 629690111. The next prime is 629690141. The reversal of 629690112 is 211096926.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629690111) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5553 + ... + 35919.

Almost surely, 2629690112 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 629690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938841904).

629690112 is an abundant number, since it is smaller than the sum of its proper divisors (1247993696).

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

629690112 is an equidigital number, since it uses as much as digits as its factorization.

629690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30395 (or 30372 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 629690112 is about 25093.6269199970. The cubic root of 629690112 is about 857.1213068868.

The spelling of 629690112 in words is "six hundred twenty-nine million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 30367 60734 91101 121468 182202 242936 273303 364404 485872 546606 728808 819909 971744 1093212 1457616 1639818 1943488 2186424 2459727 2915232 3279636 3886976 4372848 4919454 5830464 6559272 7773952 8745696 9838908 11660928 13118544 17491392 19677816 23321856 26237088 34982784 39355632 52474176 69965568 78711264 104948352 157422528 209896704 314845056 629690112