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38780040 = 23351324859
BaseRepresentation
bin1001001111101…
…1110010001000
32200222020012210
42103323302020
534411430130
63503105120
7650424225
oct223736210
980866183
1038780040
111a988022
1210ba21a0
13805a490
14521694c
1536105b0
hex24fbc88

38780040 has 64 divisors (see below), whose sum is σ = 125294400. Its totient is φ = 9545472.

The previous prime is 38780017. The next prime is 38780089. The reversal of 38780040 is 4008783.

38780040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10870 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (1957725).

Almost surely, 238780040 is an apocalyptic number.

38780040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38780040 is an abundant number, since it is smaller than the sum of its proper divisors (86514360).

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

38780040 is a wasteful number, since it uses less digits than its factorization.

38780040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24886 (or 24882 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38780040 is about 6227.3622024096. The cubic root of 38780040 is about 338.4823941906.

The spelling of 38780040 in words is "thirty-eight million, seven hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 24859 49718 74577 99436 124295 149154 198872 248590 298308 323167 372885 497180 596616 646334 745770 969501 994360 1292668 1491540 1615835 1939002 2585336 2983080 3231670 3878004 4847505 6463340 7756008 9695010 12926680 19390020 38780040