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42488172 = 22331971997
BaseRepresentation
bin1010001000010…
…1000101101100
32221221121211000
42202011011230
541334110142
64114400300
71024100136
oct242050554
987847730
1042488172
1121a8aaa1
1212290090
138a5823c
145900056
153ae414c
hex288516c

42488172 has 48 divisors (see below), whose sum is σ = 110769120. Its totient is φ = 14083776.

The previous prime is 42488167. The next prime is 42488183. The reversal of 42488172 is 27188424.

42488172 is a `hidden beast` number, since 4 + 2 + 488 + 172 = 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 15 ways as a sum of consecutive naturals, for example, 20278 + ... + 22274.

It is an arithmetic number, because the mean of its divisors is an integer number (2307690).

Almost surely, 242488172 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 42488172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55384560).

42488172 is an abundant number, since it is smaller than the sum of its proper divisors (68280948).

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

42488172 is a wasteful number, since it uses less digits than its factorization.

42488172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2199 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42488172 is about 6518.2951758876. The cubic root of 42488172 is about 348.9442252613.

The spelling of 42488172 in words is "forty-two million, four hundred eighty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 1997 2364 3546 3994 5319 5991 7092 7988 10638 11982 17973 21276 23964 35946 53919 71892 107838 215676 393409 786818 1180227 1573636 2360454 3540681 4720908 7081362 10622043 14162724 21244086 42488172