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38236328 = 23131093373
BaseRepresentation
bin1001000111011…
…1000010101000
32122221121101022
42101313002220
534242030303
63443312012
7643001114
oct221670250
978847338
1038236328
111a646579
121097b608
137bc9b60
145114744
153554438
hex24770a8

38236328 has 32 divisors (see below), whose sum is σ = 77939400. Its totient is φ = 17480448.

The previous prime is 38236309. The next prime is 38236339. The reversal of 38236328 is 82363283.

It can be written as a sum of positive squares in 4 ways, for example, as 37429924 + 806404 = 6118^2 + 898^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9650 + ... + 13022.

Almost surely, 238236328 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 38236328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38969700).

38236328 is an abundant number, since it is smaller than the sum of its proper divisors (39703072).

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

38236328 is a wasteful number, since it uses less digits than its factorization.

38236328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3497 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 38236328 is about 6183.5530239499. The cubic root of 38236328 is about 336.8930560229.

The spelling of 38236328 in words is "thirty-eight million, two hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 3373 5668 6746 11336 13492 26984 43849 87698 175396 350792 367657 735314 1470628 2941256 4779541 9559082 19118164 38236328