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42640704 = 2632181409
BaseRepresentation
bin1010001010101…
…0010101000000
32222020101001100
42202222111000
541404000304
64121534400
71025303631
oct242522500
988211040
1042640704
1122084657
1212344400
138aac7b2
14593d888
153b24439
hex28aa540

42640704 has 84 divisors (see below), whose sum is σ = 123197620. Its totient is φ = 14100480.

The previous prime is 42640679. The next prime is 42640711. The reversal of 42640704 is 40704624.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 25401600 = 4152^2 + 5040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104052 + ... + 104460.

Almost surely, 242640704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61598810).

42640704 is an abundant number, since it is smaller than the sum of its proper divisors (80556916).

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

42640704 is a wasteful number, since it uses less digits than its factorization.

42640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42640704 is about 6529.9849923258. The cubic root of 42640704 is about 349.3612950185.

The spelling of 42640704 in words is "forty-two million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 409 543 576 724 818 1086 1227 1448 1629 1636 2172 2454 2896 3258 3272 3681 4344 4908 5792 6516 6544 7362 8688 9816 11584 13032 13088 14724 17376 19632 26064 26176 29448 34752 39264 52128 58896 74029 78528 104256 117792 148058 222087 235584 296116 444174 592232 666261 888348 1184464 1332522 1776696 2368928 2665044 3553392 4737856 5330088 7106784 10660176 14213568 21320352 42640704