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42018792 = 23323163467
BaseRepresentation
bin1010000001001…
…0011111101000
32221001202221120
42200102133220
541224100132
64100335240
71020103524
oct240223750
987052846
1042018792
112179a382
12120a4520
1389226ba
14581ad84
153a5002c
hex28127e8

42018792 has 64 divisors (see below), whose sum is σ = 110522880. Its totient is φ = 13286592.

The previous prime is 42018763. The next prime is 42018803. The reversal of 42018792 is 29781024.

It is a happy number.

It is a super-2 number, since 2×420187922 = 3531157762278528, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 89743 + ... + 90209.

It is an arithmetic number, because the mean of its divisors is an integer number (1726920).

Almost surely, 242018792 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 42018792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55261440).

42018792 is an abundant number, since it is smaller than the sum of its proper divisors (68504088).

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

42018792 is a wasteful number, since it uses less digits than its factorization.

42018792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 42018792 is about 6482.1903705461. The cubic root of 42018792 is about 347.6544992132.

The spelling of 42018792 in words is "forty-two million, eighteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 163 184 276 326 467 489 552 652 934 978 1304 1401 1868 1956 2802 3736 3749 3912 5604 7498 10741 11208 11247 14996 21482 22494 29992 32223 42964 44988 64446 76121 85928 89976 128892 152242 228363 257784 304484 456726 608968 913452 1750783 1826904 3501566 5252349 7003132 10504698 14006264 21009396 42018792