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42912184 = 23719311301
BaseRepresentation
bin1010001110110…
…0100110111000
32222202011110011
42203230212320
541441142214
64131431304
71030514260
oct243544670
988664404
1042912184
112224a617
1212455534
138b76233
1459b07a0
153b79ac4
hex28ec9b8

42912184 has 64 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 16848000.

The previous prime is 42912179. The next prime is 42912223. The reversal of 42912184 is 48121924.

42912184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32334 + ... + 33634.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 242912184 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 42912184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

42912184 is an abundant number, since it is smaller than the sum of its proper divisors (57081416).

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

42912184 is a wasteful number, since it uses less digits than its factorization.

42912184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 42912184 is about 6550.7391949306. The cubic root of 42912184 is about 350.1011517162.

The spelling of 42912184 in words is "forty-two million, nine hundred twelve thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1301 1736 2356 2602 4123 4712 5204 8246 9107 10408 16492 18214 24719 32984 36428 40331 49438 72856 80662 98876 161324 173033 197752 282317 322648 346066 564634 692132 766289 1129268 1384264 1532578 2258536 3065156 5364023 6130312 10728046 21456092 42912184