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42156288 = 283419107
BaseRepresentation
bin1010000011010…
…0000100000000
32221022202120000
42200310010000
541243000123
64103320000
71021215426
oct240640400
987282500
1042156288
1121883709
1212150000
138970165
145855116
153a7ab43
hex2834100

42156288 has 180 divisors, whose sum is σ = 133554960. Its totient is φ = 13188096.

The previous prime is 42156251. The next prime is 42156299. The reversal of 42156288 is 88265124.

42156288 is a `hidden beast` number, since 4 + 21 + 5 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393931 + ... + 394037.

It is an arithmetic number, because the mean of its divisors is an integer number (741972).

Almost surely, 242156288 is an apocalyptic number.

42156288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42156288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66777480).

42156288 is an abundant number, since it is smaller than the sum of its proper divisors (91398672).

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

42156288 is a wasteful number, since it uses less digits than its factorization.

42156288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42156288 is about 6492.7873829350. The cubic root of 42156288 is about 348.0332905132.

The spelling of 42156288 in words is "forty-two million, one hundred fifty-six thousand, two hundred eighty-eight".