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38824056 = 23331797109
BaseRepresentation
bin1001010000011…
…0100001111000
32201001110121000
42110012201320
534414332211
63504045000
7650666445
oct224064170
981043530
1038824056
111aa080a7
1211003760
13807451b
1452289cc
15361d656
hex2506878

38824056 has 128 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 11943936.

The previous prime is 38824001. The next prime is 38824057. The reversal of 38824056 is 65042883.

It is a super-2 number, since 2×388240562 = 3014614648582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38824056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38824057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356130 + ... + 356238.

Almost surely, 238824056 is an apocalyptic number.

38824056 is a gapful number since it is divisible by the number (36) 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 38824056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212000).

38824056 is an abundant number, since it is smaller than the sum of its proper divisors (77599944).

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

38824056 is a wasteful number, since it uses less digits than its factorization.

38824056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38824056 is about 6230.8952807763. The cubic root of 38824056 is about 338.6104068476.

The spelling of 38824056 in words is "thirty-eight million, eight hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 97 102 108 109 136 153 194 204 216 218 291 306 327 388 408 436 459 582 612 654 776 872 873 918 981 1164 1224 1308 1649 1746 1836 1853 1962 2328 2616 2619 2943 3298 3492 3672 3706 3924 4947 5238 5559 5886 6596 6984 7412 7848 9894 10476 10573 11118 11772 13192 14824 14841 16677 19788 20952 21146 22236 23544 29682 31719 33354 39576 42292 44472 44523 50031 59364 63438 66708 84584 89046 95157 100062 118728 126876 133416 178092 179741 190314 200124 253752 285471 356184 359482 380628 400248 539223 570942 718964 761256 1078446 1141884 1437928 1617669 2156892 2283768 3235338 4313784 4853007 6470676 9706014 12941352 19412028 38824056