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642440256 = 26311329611
BaseRepresentation
bin100110010010101…
…101110001000000
31122202212100100120
4212102231301000
52303431042011
6143425420240
721630436443
oct4622556100
91582770316
10642440256
112aa705967
1215b19a680
13a3138083
146147365a
153b602a06
hex264adc40

642440256 has 56 divisors (see below), whose sum is σ = 1714890144. Its totient is φ = 212244480.

The previous prime is 642440231. The next prime is 642440263. The reversal of 642440256 is 652044246.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6891 + ... + 36501.

Almost surely, 2642440256 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 642440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857445072).

642440256 is an abundant number, since it is smaller than the sum of its proper divisors (1072449888).

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

642440256 is a wasteful number, since it uses less digits than its factorization.

642440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29739 (or 29729 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 642440256 is about 25346.4051889020. The cubic root of 642440256 is about 862.8677727529.

The spelling of 642440256 in words is "six hundred forty-two million, four hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 21696 29611 59222 88833 118444 177666 236888 355332 473776 710664 947552 1421328 1895104 2842656 3346043 5685312 6692086 10038129 13384172 20076258 26768344 40152516 53536688 80305032 107073376 160610064 214146752 321220128 642440256