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42726920 = 2354126053
BaseRepresentation
bin1010001011111…
…1011000001000
32222101202022112
42202333120020
541414230140
64123441452
71026113165
oct242773010
988352275
1042726920
1122133405
1212386288
138b0cb02
14596306c
153b3ec65
hex28bf608

42726920 has 32 divisors (see below), whose sum is σ = 98484120. Its totient is φ = 16673280.

The previous prime is 42726917. The next prime is 42726941. The reversal of 42726920 is 2962724.

It can be written as a sum of positive squares in 4 ways, for example, as 30713764 + 12013156 = 5542^2 + 3466^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11387 + ... + 14666.

Almost surely, 242726920 is an apocalyptic number.

42726920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42726920 is an abundant number, since it is smaller than the sum of its proper divisors (55757200).

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

42726920 is a wasteful number, since it uses less digits than its factorization.

42726920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26105 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 42726920 is about 6536.5832053145. The cubic root of 42726920 is about 349.5965964476.

The spelling of 42726920 in words is "forty-two million, seven hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 26053 52106 104212 130265 208424 260530 521060 1042120 1068173 2136346 4272692 5340865 8545384 10681730 21363460 42726920