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642880875 = 35371318839
BaseRepresentation
bin100110010100011…
…001010101101011
31122210200201202210
4212110121111223
52304034142000
6143443100203
721634253160
oct4624312553
91583621683
10642880875
112aa986a0a
1215b371663
13a32607b0
146154a067
153b68d350
hex2651956b

642880875 has 64 divisors (see below), whose sum is σ = 1316689920. Its totient is φ = 271267200.

The previous prime is 642880871. The next prime is 642880949. The reversal of 642880875 is 578088246.

642880875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642880875 - 22 = 642880871 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (642880871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24706 + ... + 43544.

It is an arithmetic number, because the mean of its divisors is an integer number (20573280).

Almost surely, 2642880875 is an apocalyptic number.

642880875 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

642880875 is an abundant number, since it is smaller than the sum of its proper divisors (673809045).

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

642880875 is a wasteful number, since it uses less digits than its factorization.

642880875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18877 (or 18867 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 642880875 is about 25355.0956417048. The cubic root of 642880875 is about 863.0649942300.

The spelling of 642880875 in words is "six hundred forty-two million, eight hundred eighty thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 875 975 1365 1625 2275 2625 4875 6825 11375 18839 34125 56517 94195 131873 244907 282585 395619 470975 659365 734721 1224535 1412925 1714349 1978095 2354875 3296825 3673605 5143047 6122675 7064625 8571745 9890475 16484125 18368025 25715235 30613375 42858725 49452375 91840125 128576175 214293625 642880875