Search a number
-
+
38764368 = 24322411117
BaseRepresentation
bin1001001111011…
…1111101010000
32200221102201100
42103313331100
534410424433
63502504400
7650330436
oct223677520
980842640
1038764368
111a977275
1210b95100
1380532c6
145210d56
15360ab13
hex24f7f50

38764368 has 60 divisors (see below), whose sum is σ = 109034068. Its totient is φ = 12856320.

The previous prime is 38764333. The next prime is 38764373. The reversal of 38764368 is 86346783.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 25280784 = 3672^2 + 5028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34146 + ... + 35262.

Almost surely, 238764368 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 38764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54517034).

38764368 is an abundant number, since it is smaller than the sum of its proper divisors (70269700).

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

38764368 is a wasteful number, since it uses less digits than its factorization.

38764368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1363 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38764368 is about 6226.1037575678. The cubic root of 38764368 is about 338.4367916003.

The spelling of 38764368 in words is "thirty-eight million, seven hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1117 1446 1928 2169 2234 2892 3351 3856 4338 4468 5784 6702 8676 8936 10053 11568 13404 17352 17872 20106 26808 34704 40212 53616 80424 160848 269197 538394 807591 1076788 1615182 2153576 2422773 3230364 4307152 4845546 6460728 9691092 12921456 19382184 38764368