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642252765 = 357114631201
BaseRepresentation
bin100110010001111…
…111111111011101
31122202111211011110
4212101333333131
52303404042030
6143421412233
721626026020
oct4621777735
91582454143
10642252765
112aa598010
1215b10a079
13a30a092b
14614251b7
153b5b71b0
hex2647ffdd

642252765 has 64 divisors (see below), whose sum is σ = 1285005312. Its totient is φ = 266112000.

The previous prime is 642252703. The next prime is 642252817. The reversal of 642252765 is 567252246.

It is not a de Polignac number, because 642252765 - 214 = 642236381 is a prime.

It is a super-2 number, since 2×6422527652 = 824977228300290450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534165 + ... + 535365.

It is an arithmetic number, because the mean of its divisors is an integer number (20078208).

Almost surely, 2642252765 is an apocalyptic number.

It is an amenable number.

642252765 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

642252765 is a wasteful number, since it uses less digits than its factorization.

642252765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690.

The product of its digits is 201600, while the sum is 39.

The square root of 642252765 is about 25342.7063471919. The cubic root of 642252765 is about 862.7838242556.

The spelling of 642252765 in words is "six hundred forty-two million, two hundred fifty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 463 1155 1201 1389 2315 3241 3603 5093 6005 6945 8407 9723 13211 15279 16205 18015 25221 25465 35651 39633 42035 48615 66055 76395 92477 106953 126105 178255 198165 277431 462385 534765 556063 1387155 1668189 2780315 3892441 6116693 8340945 11677323 18350079 19462205 30583465 42816851 58386615 91750395 128450553 214084255 642252765