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42685792 = 252359983
BaseRepresentation
bin1010001011010…
…1010101100000
32222022122220021
42202311111200
541411421132
64122523224
71025552242
oct242652540
988278807
1042685792
1122105516
1212366514
138ac7186
145952092
153b32997
hex28b5560

42685792 has 48 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 20048512.

The previous prime is 42685789. The next prime is 42685871. The reversal of 42685792 is 29758624.

It is a super-3 number, since 3×426857923 (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 42933 + ... + 43915.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 242685792 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 42685792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

42685792 is an abundant number, since it is smaller than the sum of its proper divisors (46582688).

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

42685792 is a wasteful number, since it uses less digits than its factorization.

42685792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 42685792 is about 6533.4364617711. The cubic root of 42685792 is about 349.4843890877.

The spelling of 42685792 in words is "forty-two million, six hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 983 1357 1888 1966 2714 3932 5428 7864 10856 15728 21712 22609 31456 43424 45218 57997 90436 115994 180872 231988 361744 463976 723488 927952 1333931 1855904 2667862 5335724 10671448 21342896 42685792