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42981912 = 23322232677
BaseRepresentation
bin1010001111110…
…1101000011000
32222212201002200
42203331220120
542000410122
64133130200
71031224461
oct243755030
988781080
1042981912
1122297a46
1212489960
138b9bbac
1459cbd68
153b905ac
hex28fda18

42981912 has 48 divisors (see below), whose sum is σ = 116975040. Its totient is φ = 14257728.

The previous prime is 42981893. The next prime is 42981919. The reversal of 42981912 is 21918924.

42981912 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42981919) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14718 + ... + 17394.

It is an arithmetic number, because the mean of its divisors is an integer number (2436980).

Almost surely, 242981912 is an apocalyptic number.

It is an amenable number.

42981912 is an abundant number, since it is smaller than the sum of its proper divisors (73993128).

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

42981912 is a wasteful number, since it uses less digits than its factorization.

42981912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2905 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 42981912 is about 6556.0591821612. The cubic root of 42981912 is about 350.2906755335.

The spelling of 42981912 in words is "forty-two million, nine hundred eighty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 2677 4014 5352 5354 8028 8031 10708 16056 16062 21416 24093 32124 48186 64248 96372 192744 596971 1193942 1790913 2387884 3581826 4775768 5372739 7163652 10745478 14327304 21490956 42981912