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42097944 = 2337250583
BaseRepresentation
bin1010000010010…
…1110100011000
32221012210112010
42200211310120
541234113234
64102145520
71020553350
oct240456430
987183463
1042097944
1121843899
12121222a0
13894c735
14583bb60
153a686e9
hex2825d18

42097944 has 32 divisors (see below), whose sum is σ = 120280320. Its totient is φ = 12027936.

The previous prime is 42097931. The next prime is 42097949. The reversal of 42097944 is 44979024.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42097949) 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, 125124 + ... + 125459.

It is an arithmetic number, because the mean of its divisors is an integer number (3758760).

Almost surely, 242097944 is an apocalyptic number.

It is an amenable number.

42097944 is an abundant number, since it is smaller than the sum of its proper divisors (78182376).

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

42097944 is a wasteful number, since it uses less digits than its factorization.

42097944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250599 (or 250595 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 42097944 is about 6488.2928417266. The cubic root of 42097944 is about 347.8726578603.

The spelling of 42097944 in words is "forty-two million, ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 250583 501166 751749 1002332 1503498 1754081 2004664 3006996 3508162 5262243 6013992 7016324 10524486 14032648 21048972 42097944