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42137952 = 253438937
BaseRepresentation
bin1010000010111…
…1100101100000
32221021211101220
42200233211200
541241403302
64103055040
71021111113
oct240574540
987254356
1042137952
112187095a
1212141480
1389649cc
14584c57a
153a754bc
hex282f960

42137952 has 24 divisors (see below), whose sum is σ = 110612376. Its totient is φ = 14045952.

The previous prime is 42137939. The next prime is 42137969. The reversal of 42137952 is 25973124.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219373 + ... + 219564.

It is an arithmetic number, because the mean of its divisors is an integer number (4608849).

Almost surely, 242137952 is an apocalyptic number.

It is an amenable number.

42137952 is an abundant number, since it is smaller than the sum of its proper divisors (68474424).

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

42137952 is a wasteful number, since it uses less digits than its factorization.

42137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438950 (or 438942 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 42137952 is about 6491.3752009878. The cubic root of 42137952 is about 347.9828238319.

The spelling of 42137952 in words is "forty-two million, one hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 438937 877874 1316811 1755748 2633622 3511496 5267244 7022992 10534488 14045984 21068976 42137952