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38318980 = 2257261641
BaseRepresentation
bin1001001000101…
…1001110000100
32200002210202111
42102023032010
534302201410
63445150404
7643464100
oct222131604
980083674
1038318980
111a6a2687
12109bb404
137c2866b
145136900
15356db8a
hex248b384

38318980 has 72 divisors (see below), whose sum is σ = 95290776. Its totient is φ = 12902400.

The previous prime is 38318971. The next prime is 38319011. The reversal of 38318980 is 8981383.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 35904064 = 1554^2 + 5992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59460 + ... + 60100.

It is an arithmetic number, because the mean of its divisors is an integer number (1323483).

Almost surely, 238318980 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 38318980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47645388).

38318980 is an abundant number, since it is smaller than the sum of its proper divisors (56971796).

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

38318980 is a wasteful number, since it uses less digits than its factorization.

38318980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 38318980 is about 6190.2326289082. The cubic root of 38318980 is about 337.1356250415.

The spelling of 38318980 in words is "thirty-eight million, three hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 641 854 980 1220 1282 1708 2135 2564 2989 3205 4270 4487 5978 6410 8540 8974 11956 12820 14945 17948 22435 29890 31409 39101 44870 59780 62818 78202 89740 125636 156404 157045 195505 273707 314090 391010 547414 628180 782020 1094828 1368535 1915949 2737070 3831898 5474140 7663796 9579745 19159490 38318980