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42144928 = 257188147
BaseRepresentation
bin1010000011000…
…1010010100000
32221022011222021
42200301102200
541242114203
64103151224
71021140340
oct240612240
987264867
1042144928
1121876121
1212145514
138967c37
145850d20
153a775bd
hex28314a0

42144928 has 24 divisors (see below), whose sum is σ = 94826592. Its totient is φ = 18062016.

The previous prime is 42144913. The next prime is 42144953. The reversal of 42144928 is 82944124.

It is a super-2 number, since 2×421449282 = 3552389912250368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42144893 and 42144902.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93850 + ... + 94297.

It is an arithmetic number, because the mean of its divisors is an integer number (3951108).

Almost surely, 242144928 is an apocalyptic number.

It is an amenable number.

42144928 is an abundant number, since it is smaller than the sum of its proper divisors (52681664).

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

42144928 is a wasteful number, since it uses less digits than its factorization.

42144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188164 (or 188156 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 42144928 is about 6491.9125071122. The cubic root of 42144928 is about 348.0020257952.

The spelling of 42144928 in words is "forty-two million, one hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 188147 376294 752588 1317029 1505176 2634058 3010352 5268116 6020704 10536232 21072464 42144928