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42472188 = 22341117701
BaseRepresentation
bin1010001000000…
…1001011111100
32221220210220000
42202001023330
541333102223
64114154300
71024002423
oct242011374
987823800
1042472188
1121a79a90
1212282990
138a50b95
1458d82ba
153ade543
hex28812fc

42472188 has 120 divisors (see below), whose sum is σ = 128432304. Its totient is φ = 12096000.

The previous prime is 42472169. The next prime is 42472247. The reversal of 42472188 is 88127424.

42472188 is a `hidden beast` number, since 4 + 2 + 472 + 188 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60238 + ... + 60938.

Almost surely, 242472188 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 42472188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64216152).

42472188 is an abundant number, since it is smaller than the sum of its proper divisors (85960116).

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

42472188 is a wasteful number, since it uses less digits than its factorization.

42472188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

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

The square root of 42472188 is about 6517.0689730891. The cubic root of 42472188 is about 348.9004623048.

The spelling of 42472188 in words is "forty-two million, four hundred seventy-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 701 748 891 918 1122 1188 1377 1402 1683 1782 1836 2103 2244 2754 2804 3366 3564 4206 5049 5508 6309 6732 7711 8412 10098 11917 12618 15147 15422 18927 20196 23133 23834 25236 30294 30844 35751 37854 46266 47668 56781 60588 69399 71502 75708 92532 107253 113562 131087 138798 143004 208197 214506 227124 262174 277596 321759 393261 416394 429012 524348 624591 643518 786522 832788 965277 1179783 1249182 1287036 1573044 1930554 2359566 2498364 3539349 3861108 4719132 7078698 10618047 14157396 21236094 42472188