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42746080 = 2551320551
BaseRepresentation
bin1010001100010…
…0000011100000
32222102201121011
42203010003200
541420333310
64124110304
71026223066
oct243040340
988381534
1042746080
1122146843
1212395394
138b18750
14596a036
153b4578a
hex28c40e0

42746080 has 48 divisors (see below), whose sum is σ = 108761184. Its totient is φ = 15782400.

The previous prime is 42746071. The next prime is 42746089. The reversal of 42746080 is 8064724.

It is an interprime number because it is at equal distance from previous prime (42746071) and next prime (42746089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42746089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8196 + ... + 12355.

It is an arithmetic number, because the mean of its divisors is an integer number (2265858).

Almost surely, 242746080 is an apocalyptic number.

42746080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42746080 is an abundant number, since it is smaller than the sum of its proper divisors (66015104).

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

42746080 is a wasteful number, since it uses less digits than its factorization.

42746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20579 (or 20571 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 42746080 is about 6538.0486385465. The cubic root of 42746080 is about 349.6488450831.

The spelling of 42746080 in words is "forty-two million, seven hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 20551 41102 82204 102755 164408 205510 267163 328816 411020 534326 657632 822040 1068652 1335815 1644080 2137304 2671630 3288160 4274608 5343260 8549216 10686520 21373040 42746080