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38117840 = 2452272099
BaseRepresentation
bin1001000101101…
…0000111010000
32122201120211212
42101122013100
534224232330
63440555252
7641665505
oct221320720
978646755
1038117840
111a575552
1210922b28
137b87c47
1450c34ac
15352e295
hex245a1d0

38117840 has 40 divisors (see below), whose sum is σ = 89056800. Its totient is φ = 15172736.

The previous prime is 38117839. The next prime is 38117851. The reversal of 38117840 is 4871183.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×381178404 (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38117797 and 38117806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17111 + ... + 19209.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 238117840 is an apocalyptic number.

It is an amenable number.

38117840 is an abundant number, since it is smaller than the sum of its proper divisors (50938960).

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

38117840 is a wasteful number, since it uses less digits than its factorization.

38117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 38117840 is about 6173.9646905372. The cubic root of 38117840 is about 336.5447041588.

The spelling of 38117840 in words is "thirty-eight million, one hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2099 2270 3632 4198 4540 8396 9080 10495 16792 18160 20990 33584 41980 83960 167920 476473 952946 1905892 2382365 3811784 4764730 7623568 9529460 19058920 38117840