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426442644 = 22351912297
BaseRepresentation
bin11001011010101…
…111111110010100
31002201102112100000
4121122233332110
51333132131034
6110152051300
713365463005
oct3132577624
91081375300
10426442644
111a9796741
12ba993b30
136a46c334
14408c91ac
1527688599
hex196aff94

426442644 has 72 divisors (see below), whose sum is σ = 1124218368. Its totient is φ = 141341760.

The previous prime is 426442633. The next prime is 426442693. The reversal of 426442644 is 446244624.

426442644 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 4 + 2 + 644 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 426442599 and 426442608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184504 + ... + 186800.

It is an arithmetic number, because the mean of its divisors is an integer number (15614144).

Almost surely, 2426442644 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 426442644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562109184).

426442644 is an abundant number, since it is smaller than the sum of its proper divisors (697775724).

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

426442644 is a wasteful number, since it uses less digits than its factorization.

426442644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2493 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 426442644 is about 20650.4877424239. The cubic root of 426442644 is about 752.6970416627.

The spelling of 426442644 in words is "four hundred twenty-six million, four hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 243 324 382 486 573 764 972 1146 1719 2292 2297 3438 4594 5157 6876 6891 9188 10314 13782 15471 20628 20673 27564 30942 41346 46413 61884 62019 82692 92826 124038 185652 186057 248076 372114 438727 558171 744228 877454 1116342 1316181 1754908 2232684 2632362 3948543 5264724 7897086 11845629 15794172 23691258 35536887 47382516 71073774 106610661 142147548 213221322 426442644