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642598432 = 2573737691
BaseRepresentation
bin100110010011010…
…100011000100000
31122210011101022221
4212103110120200
52304001122212
6143433040424
721631665550
oct4623243040
91583141287
10642598432
112aa803793
1215b256114
13a3192078
14614b5160
153b634807
hex264d4620

642598432 has 48 divisors (see below), whose sum is σ = 1449911232. Its totient is φ = 274625280.

The previous prime is 642598427. The next prime is 642598471. The reversal of 642598432 is 234895246.

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, 79707 + ... + 87397.

It is an arithmetic number, because the mean of its divisors is an integer number (30206484).

Almost surely, 2642598432 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 642598432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724955616).

642598432 is an abundant number, since it is smaller than the sum of its proper divisors (807312800).

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

642598432 is a wasteful number, since it uses less digits than its factorization.

642598432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8073 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 642598432 is about 25349.5252815511. The cubic root of 642598432 is about 862.9385828511.

The spelling of 642598432 in words is "six hundred forty-two million, five hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 373 746 1492 2611 2984 5222 5968 7691 10444 11936 15382 20888 30764 41776 53837 61528 83552 107674 123056 215348 246112 430696 861392 1722784 2868743 5737486 11474972 20081201 22949944 40162402 45899888 80324804 91799776 160649608 321299216 642598432