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42143136 = 2537217231
BaseRepresentation
bin1010000011000…
…0110110100000
32221022002111220
42200300312200
541242040021
64103135040
71021132200
oct240606640
987262456
1042143136
1121874842
1212144480
138967189
145850400
153a76cc6
hex2830da0

42143136 has 216 divisors, whose sum is σ = 141111936. Its totient is φ = 10967040.

The previous prime is 42143089. The next prime is 42143141. The reversal of 42143136 is 63134124.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1359441 + ... + 1359471.

It is an arithmetic number, because the mean of its divisors is an integer number (653296).

Almost surely, 242143136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70555968).

42143136 is an abundant number, since it is smaller than the sum of its proper divisors (98968800).

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

42143136 is a wasteful number, since it uses less digits than its factorization.

42143136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 42143136 is about 6491.7744877653. The cubic root of 42143136 is about 347.9970933830.

The spelling of 42143136 in words is "forty-two million, one hundred forty-three thousand, one hundred thirty-six".