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42379960 = 2357151357
BaseRepresentation
bin1010000110101…
…0101010111000
32221202010101011
42201222222320
541322124320
64112203304
71023136510
oct241525270
987663334
1042379960
1121a16767
1212239534
138a1abcc
1458b2840
153ac205a
hex286aab8

42379960 has 32 divisors (see below), whose sum is σ = 108977760. Its totient is φ = 14530176.

The previous prime is 42379957. The next prime is 42379999. The reversal of 42379960 is 6997324.

It is a super-2 number, since 2×423799602 = 3592122019203200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 75399 + ... + 75958.

It is an arithmetic number, because the mean of its divisors is an integer number (3405555).

Almost surely, 242379960 is an apocalyptic number.

42379960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42379960 is an abundant number, since it is smaller than the sum of its proper divisors (66597800).

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

42379960 is a wasteful number, since it uses less digits than its factorization.

42379960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151375 (or 151371 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 42379960 is about 6509.9892473029. The cubic root of 42379960 is about 348.6477344752.

The spelling of 42379960 in words is "forty-two million, three hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 151357 302714 605428 756785 1059499 1210856 1513570 2118998 3027140 4237996 5297495 6054280 8475992 10594990 21189980 42379960