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38856780 = 22335471531
BaseRepresentation
bin1001010000111…
…0100001001100
32201010010111000
42110032201030
534421404110
63504500300
7651164034
oct224164114
981103430
1038856780
111aa2a746
121101a690
1380863a1
1452368c4
1536281c0
hex250e84c

38856780 has 96 divisors (see below), whose sum is σ = 123540480. Its totient is φ = 10134720.

The previous prime is 38856773. The next prime is 38856833. The reversal of 38856780 is 8765883.

38856780 is a `hidden beast` number, since 3 + 8 + 8 + 567 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24615 + ... + 26145.

It is an arithmetic number, because the mean of its divisors is an integer number (1286880).

Almost surely, 238856780 is an apocalyptic number.

38856780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38856780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61770240).

38856780 is an abundant number, since it is smaller than the sum of its proper divisors (84683700).

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

38856780 is a wasteful number, since it uses less digits than its factorization.

38856780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 38856780 is about 6233.5206745466. The cubic root of 38856780 is about 338.7055160516.

The spelling of 38856780 in words is "thirty-eight million, eight hundred fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1531 1692 2115 2538 2820 3062 4230 4593 5076 6124 6345 7655 8460 9186 12690 13779 15310 18372 22965 25380 27558 30620 41337 45930 55116 68895 71957 82674 91860 137790 143914 165348 206685 215871 275580 287828 359785 413370 431742 647613 719570 826740 863484 1079355 1295226 1439140 1942839 2158710 2590452 3238065 3885678 4317420 6476130 7771356 9714195 12952260 19428390 38856780