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38742432 = 253403567
BaseRepresentation
bin1001001111001…
…0100110100000
32200220022121220
42103302212200
534404224212
63502215040
7650206461
oct223624640
980808556
1038742432
111a961843
1210b84480
138046321
145206d68
15360438c
hex24f29a0

38742432 has 24 divisors (see below), whose sum is σ = 101699136. Its totient is φ = 12914112.

The previous prime is 38742427. The next prime is 38742433. The reversal of 38742432 is 23424783.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 38742393 and 38742402.

It is not an unprimeable number, because it can be changed into a prime (38742433) 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, 201688 + ... + 201879.

It is an arithmetic number, because the mean of its divisors is an integer number (4237464).

Almost surely, 238742432 is an apocalyptic number.

38742432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38742432 is an abundant number, since it is smaller than the sum of its proper divisors (62956704).

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

38742432 is a wasteful number, since it uses less digits than its factorization.

38742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403580 (or 403572 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 38742432 is about 6224.3418929233. The cubic root of 38742432 is about 338.3729412944.

The spelling of 38742432 in words is "thirty-eight million, seven hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 403567 807134 1210701 1614268 2421402 3228536 4842804 6457072 9685608 12914144 19371216 38742432