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42479632 = 24131311559
BaseRepresentation
bin1010001000001…
…1000000010000
32221221012002201
42202003000100
541333322012
64114252544
71024033216
oct242030020
987835081
1042479632
1121a84638
1212287154
138a543a0
1458dacb6
153ae1857
hex2883010

42479632 has 40 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 19443840.

The previous prime is 42479627. The next prime is 42479669. The reversal of 42479632 is 23697424.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42479591 and 42479600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26469 + ... + 28027.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 242479632 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 42479632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

42479632 is an abundant number, since it is smaller than the sum of its proper divisors (46889648).

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

42479632 is a wasteful number, since it uses less digits than its factorization.

42479632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1705 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 42479632 is about 6517.6400637040. The cubic root of 42479632 is about 348.9208447672.

The spelling of 42479632 in words is "forty-two million, four hundred seventy-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 524 1048 1559 1703 2096 3118 3406 6236 6812 12472 13624 20267 24944 27248 40534 81068 162136 204229 324272 408458 816916 1633832 2654977 3267664 5309954 10619908 21239816 42479632