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42394632 = 23371271987
BaseRepresentation
bin1010000110111…
…0010000001000
32221202212111120
42201232100020
541323112012
64112355240
71023230340
oct241562010
987685446
1042394632
1121a26795
1212245b20
138a247a7
1458b7d20
153ac658c
hex286e408

42394632 has 64 divisors (see below), whose sum is σ = 122142720. Its totient is φ = 12011328.

The previous prime is 42394631. The next prime is 42394633. The reversal of 42394632 is 23649324.

It is an interprime number because it is at equal distance from previous prime (42394631) and next prime (42394633).

It is a junction number, because it is equal to n+sod(n) for n = 42394593 and 42394602.

It is not an unprimeable number, because it can be changed into a prime (42394631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20343 + ... + 22329.

It is an arithmetic number, because the mean of its divisors is an integer number (1908480).

Almost surely, 242394632 is an apocalyptic number.

42394632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42394632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61071360).

42394632 is an abundant number, since it is smaller than the sum of its proper divisors (79748088).

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

42394632 is a wasteful number, since it uses less digits than its factorization.

42394632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2126 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 42394632 is about 6511.1160333694. The cubic root of 42394632 is about 348.6879639402.

The spelling of 42394632 in words is "forty-two million, three hundred ninety-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 1987 2667 3048 3556 3974 5334 5961 7112 7948 10668 11922 13909 15896 21336 23844 27818 41727 47688 55636 83454 111272 166908 252349 333816 504698 757047 1009396 1514094 1766443 2018792 3028188 3532886 5299329 6056376 7065772 10598658 14131544 21197316 42394632