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626139540 = 2232513267581
BaseRepresentation
bin100101010100100…
…010000110010100
31121122012011222100
4211110202012110
52240242431130
6142044202100
721342045465
oct4524420624
91548164870
10626139540
112a14919a4
12155839330
139c94b690
145d22cd6c
1539e82c60
hex25522194

626139540 has 72 divisors (see below), whose sum is σ = 2045396808. Its totient is φ = 154126080.

The previous prime is 626139523. The next prime is 626139541. The reversal of 626139540 is 45931626.

It is a happy number.

626139540 is a `hidden beast` number, since 6 + 261 + 395 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20684304 + 605455236 = 4548^2 + 24606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 626139495 and 626139504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (626139541) 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 23 ways as a sum of consecutive naturals, for example, 131451 + ... + 136130.

It is an arithmetic number, because the mean of its divisors is an integer number (28408289).

Almost surely, 2626139540 is an apocalyptic number.

626139540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

626139540 is an abundant number, since it is smaller than the sum of its proper divisors (1419257268).

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

626139540 is a wasteful number, since it uses less digits than its factorization.

626139540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267609 (or 267604 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 626139540 is about 25022.7804210483. The cubic root of 626139540 is about 855.5072807853.

The spelling of 626139540 in words is "six hundred twenty-six million, one hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 267581 535162 802743 1070324 1337905 1605486 2408229 2675810 3210972 3478553 4013715 4816458 5351620 6957106 8027430 9632916 10435659 12041145 13914212 16054860 17392765 20871318 24082290 31306977 34785530 41742636 48164580 52178295 62613954 69571060 104356590 125227908 156534885 208713180 313069770 626139540