Search a number
-
+
38232960 = 273519913
BaseRepresentation
bin1001000111011…
…0001110000000
32122221102202120
42101312032000
534241423320
63443244240
7642655233
oct221661600
978842676
1038232960
111a643a97
1210979680
137bc846c
14511341a
153553440
hex2476380

38232960 has 64 divisors (see below), whose sum is σ = 121873680. Its totient is φ = 10194944.

The previous prime is 38232937. The next prime is 38232967. The reversal of 38232960 is 6923283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38232967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8037 + ... + 11876.

Almost surely, 238232960 is an apocalyptic number.

38232960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38232960 is an abundant number, since it is smaller than the sum of its proper divisors (83640720).

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

38232960 is a wasteful number, since it uses less digits than its factorization.

38232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19935 (or 19923 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 38232960 is about 6183.2806826150. The cubic root of 38232960 is about 336.8831641288.

The spelling of 38232960 in words is "thirty-eight million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 19913 39826 59739 79652 99565 119478 159304 199130 238956 298695 318608 398260 477912 597390 637216 796520 955824 1194780 1274432 1593040 1911648 2389560 2548864 3186080 3823296 4779120 6372160 7646592 9558240 12744320 19116480 38232960