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42161136 = 243881997
BaseRepresentation
bin1010000011010…
…1001111110000
32221100000012120
42200311033300
541243124021
64103354240
71021235523
oct240651760
987300176
1042161136
1121887316
1212152980
138972424
145856bba
153a7c2c6
hex28353f0

42161136 has 40 divisors (see below), whose sum is σ = 109149264. Its totient is φ = 14023680.

The previous prime is 42161131. The next prime is 42161143. The reversal of 42161136 is 63116124.

It is a super-2 number, since 2×421611362 = 3555122777620992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161131) 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, 41790 + ... + 42786.

Almost surely, 242161136 is an apocalyptic number.

It is an amenable number.

42161136 is an abundant number, since it is smaller than the sum of its proper divisors (66988128).

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

42161136 is a wasteful number, since it uses less digits than its factorization.

42161136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 42161136 is about 6493.1607095466. The cubic root of 42161136 is about 348.0466313519.

The spelling of 42161136 in words is "forty-two million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 881 997 1762 1994 2643 2991 3524 3988 5286 5982 7048 7976 10572 11964 14096 15952 21144 23928 42288 47856 878357 1756714 2635071 3513428 5270142 7026856 10540284 14053712 21080568 42161136