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38679284 = 22717233533
BaseRepresentation
bin1001001110001…
…1001011110100
32200210010000002
42103203023310
534400214114
63501010432
7646524410
oct223431364
980703002
1038679284
111a919356
1210b53a18
138023667
1451cbd40
1535e07de
hex24e32f4

38679284 has 48 divisors (see below), whose sum is σ = 85494528. Its totient is φ = 14919168.

The previous prime is 38679259. The next prime is 38679287. The reversal of 38679284 is 48297683.

38679284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×386792844 (a number of 31 digits) contains 4444 as substring.

Its product of digits (580608) is a multiple of the sum of its prime factors (3584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38679287) 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, 9182 + ... + 12714.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 238679284 is an apocalyptic number.

38679284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38679284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

38679284 is an abundant number, since it is smaller than the sum of its proper divisors (46815244).

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

38679284 is a wasteful number, since it uses less digits than its factorization.

38679284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3582 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 38679284 is about 6219.2671594007. The cubic root of 38679284 is about 338.1889983217.

The spelling of 38679284 in words is "thirty-eight million, six hundred seventy-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 3533 5474 7066 10948 14132 24731 49462 60061 81259 98924 120122 162518 240244 325036 420427 568813 840854 1137626 1381403 1681708 2275252 2762806 5525612 9669821 19339642 38679284