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425101524 = 223176073433
BaseRepresentation
bin11001010101101…
…000100011010100
31002121220101122220
4121111220203110
51332311222044
6110103222340
713351206021
oct3125504324
91077811586
10425101524
111a8a60081
12ba4479b0
136a0bca83
144065a548
15274c1019
hex195688d4

425101524 has 48 divisors (see below), whose sum is σ = 1052287488. Its totient is φ = 133106688.

The previous prime is 425101519. The next prime is 425101529.

425101524 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (425101519) and next prime (425101529).

It is a super-2 number, since 2×4251015242 = 361422611414245152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 425101494 and 425101503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425101529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122112 + ... + 125544.

It is an arithmetic number, because the mean of its divisors is an integer number (21922656).

Almost surely, 2425101524 is an apocalyptic number.

It is an amenable number.

425101524 is an abundant number, since it is smaller than the sum of its proper divisors (627185964).

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

425101524 is a wasteful number, since it uses less digits than its factorization.

425101524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 425101524 is about 20617.9902997358. The cubic root of 425101524 is about 751.9071604303.

The spelling of 425101524 in words is "four hundred twenty-five million, one hundred one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 607 1214 1821 2428 3433 3642 6866 7284 10299 10319 13732 20598 20638 30957 41196 41276 58361 61914 116722 123828 175083 233444 350166 700332 2083831 4167662 6251493 8335324 12502986 25005972 35425127 70850254 106275381 141700508 212550762 425101524