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38783680 = 265139323
BaseRepresentation
bin1001001111110…
…0101011000000
32200222102012121
42103330223000
534412034210
63503134024
7650440645
oct223745300
980872177
1038783680
111a98a831
1210ba4314
13805c030
145217dcc
1536116da
hex24fcac0

38783680 has 56 divisors (see below), whose sum is σ = 99468432. Its totient is φ = 14318592.

The previous prime is 38783671. The next prime is 38783683. The reversal of 38783680 is 8638783.

It is not an unprimeable number, because it can be changed into a prime (38783683) 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, 502 + ... + 8821.

It is an arithmetic number, because the mean of its divisors is an integer number (1776222).

Almost surely, 238783680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49734216).

38783680 is an abundant number, since it is smaller than the sum of its proper divisors (60684752).

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

38783680 is a wasteful number, since it uses less digits than its factorization.

38783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 38783680 is about 6227.6544541264. The cubic root of 38783680 is about 338.4929841519.

The spelling of 38783680 in words is "thirty-eight million, seven hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 9323 18646 37292 46615 74584 93230 121199 149168 186460 242398 298336 372920 484796 596672 605995 745840 969592 1211990 1491680 1939184 2423980 2983360 3878368 4847960 7756736 9695920 19391840 38783680