Search a number
-
+
38961240 = 2335595503
BaseRepresentation
bin1001010010100…
…0000001011000
32201022102202220
42110220001120
534433224430
63511024040
7652110423
oct224500130
981272686
1038961240
111aaa117a
121106b020
1380c1ab6
1452629ba
153649110
hex2528058

38961240 has 64 divisors (see below), whose sum is σ = 118886400. Its totient is φ = 10211712.

The previous prime is 38961233. The next prime is 38961253. The reversal of 38961240 is 4216983.

It is a congruent number.

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, 4329 + ... + 9831.

It is an arithmetic number, because the mean of its divisors is an integer number (1857600).

Almost surely, 238961240 is an apocalyptic number.

38961240 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 38961240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59443200).

38961240 is an abundant number, since it is smaller than the sum of its proper divisors (79925160).

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

38961240 is a wasteful number, since it uses less digits than its factorization.

38961240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38961240 is about 6241.8939433476. The cubic root of 38961240 is about 339.0087623147.

The spelling of 38961240 in words is "thirty-eight million, nine hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 5503 7080 11006 16509 22012 27515 33018 44024 55030 66036 82545 110060 132072 165090 220120 324677 330180 649354 660360 974031 1298708 1623385 1948062 2597416 3246770 3896124 4870155 6493540 7792248 9740310 12987080 19480620 38961240