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642024624 = 243127105319
BaseRepresentation
bin100110010001001…
…000010010110000
31122202002020012210
4212101020102300
52303324241444
6143412452120
721624055623
oct4621102260
91582066183
10642024624
112aa45166a
1215b01a040
13a3020b37
14613a5dba
153b56e7b9
hex264484b0

642024624 has 40 divisors (see below), whose sum is σ = 1671639040. Its totient is φ = 212321088.

The previous prime is 642024623. The next prime is 642024631. The reversal of 642024624 is 426420246.

It is a junction number, because it is equal to n+sod(n) for n = 642024591 and 642024600.

It is not an unprimeable number, because it can be changed into a prime (642024623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46564 + ... + 58755.

It is an arithmetic number, because the mean of its divisors is an integer number (41790976).

Almost surely, 2642024624 is an apocalyptic number.

It is an amenable number.

642024624 is an abundant number, since it is smaller than the sum of its proper divisors (1029614416).

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

642024624 is a wasteful number, since it uses less digits than its factorization.

642024624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105457 (or 105451 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 642024624 is about 25338.2048298612. The cubic root of 642024624 is about 862.6816528124.

The spelling of 642024624 in words is "six hundred forty-two million, twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 105319 210638 315957 421276 631914 842552 1263828 1685104 2527656 5055312 13375513 26751026 40126539 53502052 80253078 107004104 160506156 214008208 321012312 642024624