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42790432 = 251970379
BaseRepresentation
bin1010001100111…
…0111000100000
32222111222102211
42203032320200
541423243212
64125051504
71026466306
oct243167040
988458384
1042790432
11221770a3
12123b6b94
138b329a9
14597c276
153b539a7
hex28cee20

42790432 has 24 divisors (see below), whose sum is σ = 88678800. Its totient is φ = 20268864.

The previous prime is 42790427. The next prime is 42790439. The reversal of 42790432 is 23409724.

It is a junction number, because it is equal to n+sod(n) for n = 42790394 and 42790403.

It is not an unprimeable number, because it can be changed into a prime (42790439) 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 3 ways as a sum of consecutive naturals, for example, 34582 + ... + 35797.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 242790432 is an apocalyptic number.

It is an amenable number.

42790432 is an abundant number, since it is smaller than the sum of its proper divisors (45888368).

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

42790432 is a wasteful number, since it uses less digits than its factorization.

42790432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70408 (or 70400 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 42790432 is about 6541.4395969083. The cubic root of 42790432 is about 349.7697315305.

The spelling of 42790432 in words is "forty-two million, seven hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 70379 140758 281516 563032 1126064 1337201 2252128 2674402 5348804 10697608 21395216 42790432