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631107464 = 231353611877
BaseRepresentation
bin100101100111011…
…110111110001000
31121222112120200112
4211213132332020
52243030414324
6142342453452
721432216311
oct4547367610
91558476615
10631107464
112a4275419
12157434288
13a099a990
145db63608
153a614c0e
hex259def88

631107464 has 64 divisors (see below), whose sum is σ = 1320384240. Its totient is φ = 280949760.

The previous prime is 631107461. The next prime is 631107467. The reversal of 631107464 is 464701136.

It is an interprime number because it is at equal distance from previous prime (631107461) and next prime (631107467).

It can be written as a sum of positive squares in 8 ways, for example, as 127464100 + 503643364 = 11290^2 + 22442^2 .

It is a super-2 number, since 2×6311074642 = 796593262233022592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 631107464.

It is not an unprimeable number, because it can be changed into a prime (631107461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335294 + ... + 337170.

Almost surely, 2631107464 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 631107464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660192120).

631107464 is an abundant number, since it is smaller than the sum of its proper divisors (689276776).

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

631107464 is a wasteful number, since it uses less digits than its factorization.

631107464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 631107464 is about 25121.8523202410. The cubic root of 631107464 is about 857.7639151731.

The spelling of 631107464 in words is "six hundred thirty-one million, one hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 53 61 104 106 122 212 244 424 488 689 793 1378 1586 1877 2756 3172 3233 3754 5512 6344 6466 7508 12932 15016 24401 25864 42029 48802 84058 97604 99481 114497 168116 195208 198962 228994 336232 397924 457988 795848 915976 1293253 1488461 2586506 2976922 5173012 5953844 6068341 10346024 11907688 12136682 24273364 48546728 78888433 157776866 315553732 631107464