Search a number
-
+
38768244 = 223291011103
BaseRepresentation
bin1001001111100…
…0111001110100
32200221122000220
42103320321310
534411040434
63502534340
7650344644
oct223707164
980848026
1038768244
111a97a179
1210b973b0
138054cb8
145212524
15360bd49
hex24f8e74

38768244 has 48 divisors (see below), whose sum is σ = 94590720. Its totient is φ = 12342400.

The previous prime is 38768239. The next prime is 38768263. The reversal of 38768244 is 44286783.

It is a junction number, because it is equal to n+sod(n) for n = 38768196 and 38768205.

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, 34597 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (1970640).

Almost surely, 238768244 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 38768244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47295360).

38768244 is an abundant number, since it is smaller than the sum of its proper divisors (55822476).

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

38768244 is a wasteful number, since it uses less digits than its factorization.

38768244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 38768244 is about 6226.4150198971. The cubic root of 38768244 is about 338.4480711796.

The spelling of 38768244 in words is "thirty-eight million, seven hundred sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1103 1212 2206 2929 3309 4412 5858 6618 8787 11716 13236 17574 31987 35148 63974 95961 111403 127948 191922 222806 334209 383844 445612 668418 1336836 3230687 6461374 9692061 12922748 19384122 38768244