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642377856 = 2732372733
BaseRepresentation
bin100110010010011…
…110100010000000
31122202202011202110
4212102132202000
52303422042411
6143424215320
721630056511
oct4622364200
91582664673
10642377856
112aa672a9a
1215b16a540
13a3115853
1461458a08
153b5de2a6
hex2649e880

642377856 has 64 divisors (see below), whose sum is σ = 1780528320. Its totient is φ = 204813312.

The previous prime is 642377819. The next prime is 642377893. The reversal of 642377856 is 658773246.

It is an interprime number because it is at equal distance from previous prime (642377819) and next prime (642377893).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27535 + ... + 45198.

It is an arithmetic number, because the mean of its divisors is an integer number (27820755).

Almost surely, 2642377856 is an apocalyptic number.

It is an amenable number.

642377856 is an abundant number, since it is smaller than the sum of its proper divisors (1138150464).

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

642377856 is a wasteful number, since it uses less digits than its factorization.

642377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72773 (or 72761 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 642377856 is about 25345.1742152229. The cubic root of 642377856 is about 862.8398351655.

The spelling of 642377856 in words is "six hundred forty-two million, three hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 72733 145466 218199 290932 436398 581864 872796 1163728 1672859 1745592 2327456 3345718 3491184 4654912 5018577 6691436 6982368 9309824 10037154 13382872 13964736 20074308 26765744 27929472 40148616 53531488 80297232 107062976 160594464 214125952 321188928 642377856