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629770464 = 253580989
BaseRepresentation
bin100101100010011…
…000100011100000
31121220000122200000
4211202120203200
52242210123324
6142254100000
721414650331
oct4542304340
91556018600
10629770464
112a3541964
12156aaa600
13a062025b
145d8d6288
153a44d9c9
hex258988e0

629770464 has 72 divisors (see below), whose sum is σ = 1857262680. Its totient is φ = 209920896.

The previous prime is 629770459. The next prime is 629770469. The reversal of 629770464 is 464077926.

It is an interprime number because it is at equal distance from previous prime (629770459) and next prime (629770469).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6297704642 = 793221674653550592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629770469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32719 + ... + 48270.

It is an arithmetic number, because the mean of its divisors is an integer number (25795315).

Almost surely, 2629770464 is an apocalyptic number.

It is an amenable number.

629770464 is an abundant number, since it is smaller than the sum of its proper divisors (1227492216).

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

629770464 is an equidigital number, since it uses as much as digits as its factorization.

629770464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81014 (or 80994 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 629770464 is about 25095.2279128921. The cubic root of 629770464 is about 857.1577631693.

The spelling of 629770464 in words is "six hundred twenty-nine million, seven hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 80989 161978 242967 323956 485934 647912 728901 971868 1295824 1457802 1943736 2186703 2591648 2915604 3887472 4373406 5831208 6560109 7774944 8746812 11662416 13120218 17493624 19680327 23324832 26240436 34987248 39360654 52480872 69974496 78721308 104961744 157442616 209923488 314885232 629770464