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42328632 = 2332961997
BaseRepresentation
bin1010000101111…
…0001000111000
32221122111222010
42201132020320
541314004012
64111125520
71022534043
oct241361070
987574863
1042328632
1121991145
12122138a0
138a00738
14589bc5a
153ab1c3c
hex285e238

42328632 has 64 divisors (see below), whose sum is σ = 111376800. Its totient is φ = 13386240.

The previous prime is 42328631. The next prime is 42328633. The reversal of 42328632 is 23682324.

It is an interprime number because it is at equal distance from previous prime (42328631) and next prime (42328633).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42328632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42328631) by changing a digit.

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, 41958 + ... + 42954.

Almost surely, 242328632 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 42328632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55688400).

42328632 is an abundant number, since it is smaller than the sum of its proper divisors (69048168).

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

42328632 is a wasteful number, since it uses less digits than its factorization.

42328632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42328632 is about 6506.0458037121. The cubic root of 42328632 is about 348.5069240514.

The spelling of 42328632 in words is "forty-two million, three hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 696 732 997 1464 1769 1994 2991 3538 3988 5307 5982 7076 7976 10614 11964 14152 21228 23928 28913 42456 57826 60817 86739 115652 121634 173478 182451 231304 243268 346956 364902 486536 693912 729804 1459608 1763693 3527386 5291079 7054772 10582158 14109544 21164316 42328632