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642617480 = 23537434201
BaseRepresentation
bin100110010011011…
…001000010001000
31122210012100110102
4212103121002020
52304002224410
6143433304532
721632105231
oct4623310210
91583170412
10642617480
112aa81702a
1215b265148
13a319a93b
14614bc088
153b63a2a5
hex264d9088

642617480 has 32 divisors (see below), whose sum is σ = 1484970840. Its totient is φ = 250099200.

The previous prime is 642617473. The next prime is 642617489. The reversal of 642617480 is 84716246.

It can be written as a sum of positive squares in 4 ways, for example, as 634334596 + 8282884 = 25186^2 + 2878^2 .

It is not an unprimeable number, because it can be changed into a prime (642617489) by changing a digit.

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, 215621 + ... + 218580.

Almost surely, 2642617480 is an apocalyptic number.

It is an amenable number.

642617480 is an abundant number, since it is smaller than the sum of its proper divisors (842353360).

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

642617480 is a wasteful number, since it uses less digits than its factorization.

642617480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434249 (or 434245 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 642617480 is about 25349.9009859999. The cubic root of 642617480 is about 862.9471092189.

The spelling of 642617480 in words is "six hundred forty-two million, six hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 434201 868402 1736804 2171005 3473608 4342010 8684020 16065437 17368040 32130874 64261748 80327185 128523496 160654370 321308740 642617480