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42137960 = 2351053449
BaseRepresentation
bin1010000010111…
…1100101101000
32221021211102012
42200233211220
541241403320
64103055052
71021111124
oct240574550
987254365
1042137960
1121870967
1212141488
138964a07
14584c584
153a754c5
hex282f968

42137960 has 16 divisors (see below), whose sum is σ = 94810500. Its totient is φ = 16855168.

The previous prime is 42137939. The next prime is 42137969. The reversal of 42137960 is 6973124.

It can be written as a sum of positive squares in 2 ways, for example, as 37039396 + 5098564 = 6086^2 + 2258^2 .

It is not an unprimeable number, because it can be changed into a prime (42137969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526685 + ... + 526764.

Almost surely, 242137960 is an apocalyptic number.

42137960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42137960 is an abundant number, since it is smaller than the sum of its proper divisors (52672540).

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

42137960 is a wasteful number, since it uses less digits than its factorization.

42137960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053460 (or 1053456 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 42137960 is about 6491.3758171901. The cubic root of 42137960 is about 347.9828458537.

The spelling of 42137960 in words is "forty-two million, one hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1053449 2106898 4213796 5267245 8427592 10534490 21068980 42137960