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38936628 = 2232832157
BaseRepresentation
bin1001010010001…
…0000000110100
32201021012000100
42110202000310
534431433003
63510314100
7651645603
oct224420064
981235010
1038936628
111aa84735
1211058930
1380b3833
145257a3a
153641ba3
hex2522034

38936628 has 54 divisors (see below), whose sum is σ = 100257794. Its totient is φ = 12740832.

The previous prime is 38936587. The next prime is 38936657. The reversal of 38936628 is 82663983.

It can be written as a sum of positive squares in only one way, i.e., 30008484 + 8928144 = 5478^2 + 2988^2 .

It is a super-2 number, since 2×389366282 = 3032122000020768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 247926 + ... + 248082.

Almost surely, 238936628 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 38936628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50128897).

38936628 is an abundant number, since it is smaller than the sum of its proper divisors (61321166).

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

38936628 is a wasteful number, since it uses less digits than its factorization.

38936628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 245 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 38936628 is about 6239.9221148986. The cubic root of 38936628 is about 338.9373627974.

The spelling of 38936628 in words is "thirty-eight million, nine hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 157 166 249 314 332 471 498 628 747 942 996 1413 1494 1884 2826 2988 5652 6889 13031 13778 20667 26062 27556 39093 41334 52124 62001 78186 82668 117279 124002 156372 234558 248004 469116 1081573 2163146 3244719 4326292 6489438 9734157 12978876 19468314 38936628