Search a number
-
+
38875440 = 2435433767
BaseRepresentation
bin1001010001001…
…1000100110000
32201011002002010
42110103010300
534423003230
63505122520
7651302322
oct224230460
981132063
1038875440
111aa4276a
1211029440
138091a26
14523d612
15362d9b0
hex2513130

38875440 has 80 divisors (see below), whose sum is σ = 123349248. Its totient is φ = 10123008.

The previous prime is 38875433. The next prime is 38875453. The reversal of 38875440 is 4457883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×388754402 = 3022599670387200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437 + ... + 12203.

Almost surely, 238875440 is an apocalyptic number.

38875440 is a gapful number since it is divisible by the number (30) 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 38875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61674624).

38875440 is an abundant number, since it is smaller than the sum of its proper divisors (84473808).

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

38875440 is a wasteful number, since it uses less digits than its factorization.

38875440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 38875440 is about 6235.0172413555. The cubic root of 38875440 is about 338.7597256686.

The spelling of 38875440 in words is "thirty-eight million, eight hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 3767 5160 7534 10320 11301 15068 18835 22602 30136 37670 45204 56505 60272 75340 90408 113010 150680 161981 180816 226020 301360 323962 452040 485943 647924 809905 904080 971886 1295848 1619810 1943772 2429715 2591696 3239620 3887544 4859430 6479240 7775088 9718860 12958480 19437720 38875440