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38824380 = 22335710271
BaseRepresentation
bin1001010000011…
…0100110111100
32201001111001000
42110012212330
534414340010
63504050300
7651000420
oct224064674
981044030
1038824380
111aa08371
1211003990
13807470a
145228b80
15361d7c0
hex25069bc

38824380 has 96 divisors (see below), whose sum is σ = 138055680. Its totient is φ = 8873280.

The previous prime is 38824363. The next prime is 38824403. The reversal of 38824380 is 8342883.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1356 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (1438080).

Almost surely, 238824380 is an apocalyptic number.

38824380 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 38824380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69027840).

38824380 is an abundant number, since it is smaller than the sum of its proper divisors (99231300).

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

38824380 is a wasteful number, since it uses less digits than its factorization.

38824380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10296 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38824380 is about 6230.9212801961. The cubic root of 38824380 is about 338.6113487848.

It can be divided in two parts, 38824 and 380, that added together give a square (39204 = 1982).

The spelling of 38824380 in words is "thirty-eight million, eight hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 10271 20542 30813 41084 51355 61626 71897 92439 102710 123252 143794 154065 184878 205420 215691 277317 287588 308130 359485 369756 431382 462195 554634 616260 647073 718970 862764 924390 1078455 1109268 1294146 1386585 1437940 1848780 1941219 2156910 2588292 2773170 3235365 3882438 4313820 5546340 6470730 7764876 9706095 12941460 19412190 38824380