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38679032 = 2372791249
BaseRepresentation
bin1001001110001…
…1000111111000
32200210002122202
42103203013320
534400212112
63501005332
7646523600
oct223430770
980702582
1038679032
111a919147
1210b53848
138023502
1451cbc00
1535e06c2
hex24e31f8

38679032 has 48 divisors (see below), whose sum is σ = 85500000. Its totient is φ = 16353792.

The previous prime is 38679013. The next prime is 38679083. The reversal of 38679032 is 23097683.

38679032 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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30344 + ... + 31592.

It is an arithmetic number, because the mean of its divisors is an integer number (1781250).

Almost surely, 238679032 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 38679032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42750000).

38679032 is an abundant number, since it is smaller than the sum of its proper divisors (46820968).

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

38679032 is a wasteful number, since it uses less digits than its factorization.

38679032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 38679032 is about 6219.2468997460. The cubic root of 38679032 is about 338.1882638733.

The spelling of 38679032 in words is "thirty-eight million, six hundred seventy-nine thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 316 392 553 632 1106 1249 2212 2498 3871 4424 4996 7742 8743 9992 15484 17486 30968 34972 61201 69944 98671 122402 197342 244804 394684 489608 690697 789368 1381394 2762788 4834879 5525576 9669758 19339516 38679032