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38031642 = 23211401479
BaseRepresentation
bin1001000100010…
…1000100011010
32122120012121100
42101011010122
534214003032
63435052230
7641156265
oct221050432
978505540
1038031642
111a516810
12108a1076
137b5793c
14509dcdc
15351397c
hex244511a

38031642 has 48 divisors (see below), whose sum is σ = 90305280. Its totient is φ = 11472000.

The previous prime is 38031589. The next prime is 38031659. The reversal of 38031642 is 24613083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79159 + ... + 79637.

It is an arithmetic number, because the mean of its divisors is an integer number (1881360).

Almost surely, 238031642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38031642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45152640).

38031642 is an abundant number, since it is smaller than the sum of its proper divisors (52273638).

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

38031642 is a wasteful number, since it uses less digits than its factorization.

38031642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38031642 is about 6166.9799740229. The cubic root of 38031642 is about 336.2908302523.

It can be divided in two parts, 3803 and 1642, that added together give a palindrome (5445).

The spelling of 38031642 in words is "thirty-eight million, thirty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 401 479 802 958 1203 1437 2406 2874 3609 4311 4411 5269 7218 8622 8822 10538 13233 15807 26466 31614 39699 47421 79398 94842 192079 384158 576237 1152474 1728711 2112869 3457422 4225738 6338607 12677214 19015821 38031642