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38960412 = 223191071597
BaseRepresentation
bin1001010010011…
…1110100011100
32201022101122020
42110213310130
534433213122
63511020140
7652105131
oct224476434
981271566
1038960412
111aaa0597
121106a650
1380c15ca
145262588
153648c5c
hex2527d1c

38960412 has 48 divisors (see below), whose sum is σ = 96647040. Its totient is φ = 12180672.

The previous prime is 38960401. The next prime is 38960417. The reversal of 38960412 is 21406983.

38960412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38960417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23598 + ... + 25194.

It is an arithmetic number, because the mean of its divisors is an integer number (2013480).

Almost surely, 238960412 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 38960412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48323520).

38960412 is an abundant number, since it is smaller than the sum of its proper divisors (57686628).

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

38960412 is a wasteful number, since it uses less digits than its factorization.

38960412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38960412 is about 6241.8276169725. The cubic root of 38960412 is about 339.0063607720.

The spelling of 38960412 in words is "thirty-eight million, nine hundred sixty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 1597 2033 3194 4066 4791 6099 6388 8132 9582 12198 19164 24396 30343 60686 91029 121372 170879 182058 341758 364116 512637 683516 1025274 2050548 3246701 6493402 9740103 12986804 19480206 38960412