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42013998 = 2331397617
BaseRepresentation
bin1010000001000…
…1010100101110
32221001112101000
42200101110232
541223421443
64100301130
71020053535
oct240212456
987045330
1042013998
1121796814
12120a17a6
138920470
14581931c
153a4d8d3
hex281152e

42013998 has 64 divisors (see below), whose sum is σ = 101747520. Its totient is φ = 12773376.

The previous prime is 42013991. The next prime is 42013999. The reversal of 42013998 is 89931024.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67786 + ... + 68402.

It is an arithmetic number, because the mean of its divisors is an integer number (1589805).

Almost surely, 242013998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50873760).

42013998 is an abundant number, since it is smaller than the sum of its proper divisors (59733522).

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

42013998 is a wasteful number, since it uses less digits than its factorization.

42013998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 42013998 is about 6481.8205775847. The cubic root of 42013998 is about 347.6412772000.

The spelling of 42013998 in words is "forty-two million, thirteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 582 617 702 873 1234 1261 1746 1851 2522 2619 3702 3783 5238 5553 7566 8021 11106 11349 16042 16659 22698 24063 33318 34047 48126 59849 68094 72189 119698 144378 179547 216567 359094 433134 538641 778037 1077282 1556074 1615923 2334111 3231846 4668222 7002333 14004666 21006999 42013998