Search a number
-
+
38900556 = 22321723739
BaseRepresentation
bin1001010001100…
…1001101001100
32201012100112100
42110121031030
534424304211
63505435100
7651435462
oct224311514
981170470
1038900556
111aa5a622
121103ba90
1380a02a6
145248832
153636156
hex251934c

38900556 has 54 divisors (see below), whose sum is σ = 104484380. Its totient is φ = 12200832.

The previous prime is 38900531. The next prime is 38900557. The reversal of 38900556 is 65500983.

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 38900556.

It is not an unprimeable number, because it can be changed into a prime (38900557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8535 + ... + 12273.

Almost surely, 238900556 is an apocalyptic number.

38900556 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 38900556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52242190).

38900556 is an abundant number, since it is smaller than the sum of its proper divisors (65583824).

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

38900556 is a wasteful number, since it uses less digits than its factorization.

38900556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38900556 is about 6237.0310244539. The cubic root of 38900556 is about 338.8326633865.

The spelling of 38900556 in words is "thirty-eight million, nine hundred thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 3739 5202 7478 10404 11217 14956 22434 33651 44868 63563 67302 127126 134604 190689 254252 381378 572067 762756 1080571 1144134 2161142 2288268 3241713 4322284 6483426 9725139 12966852 19450278 38900556