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426031512 = 233312712113
BaseRepresentation
bin11001011001001…
…011100110011000
31002200122122100220
4121121023212120
51333031002022
6110135200040
713362131244
oct3131134630
91080578326
10426031512
111a9535865
12ba816020
136a35716a
144081d424
152760685c
hex1964b998

426031512 has 64 divisors (see below), whose sum is σ = 1104015360. Its totient is φ = 136857600.

The previous prime is 426031511. The next prime is 426031513. The reversal of 426031512 is 215130624.

It is an interprime number because it is at equal distance from previous prime (426031511) and next prime (426031513).

It is a super-2 number, since 2×4260315122 = 363005698434012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426031511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200568 + ... + 202680.

It is an arithmetic number, because the mean of its divisors is an integer number (17250240).

Almost surely, 2426031512 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 426031512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552007680).

426031512 is an abundant number, since it is smaller than the sum of its proper divisors (677983848).

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

426031512 is a wasteful number, since it uses less digits than its factorization.

426031512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 426031512 is about 20640.5308071280. The cubic root of 426031512 is about 752.4550729424.

The spelling of 426031512 in words is "four hundred twenty-six million, thirty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 271 372 542 744 813 1084 1626 2113 2168 3252 4226 6339 6504 8401 8452 12678 16802 16904 25203 25356 33604 50406 50712 65503 67208 100812 131006 196509 201624 262012 393018 524024 572623 786036 1145246 1572072 1717869 2290492 3435738 4580984 6871476 13742952 17751313 35502626 53253939 71005252 106507878 142010504 213015756 426031512