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38113768 = 2372118839
BaseRepresentation
bin1001000101100…
…1000111101000
32122201101021001
42101121013220
534224120033
63440524344
7641650600
oct221310750
978641231
1038113768
111a572490
12109206b4
137b86134
1450c1c00
15352ce7d
hex24591e8

38113768 has 48 divisors (see below), whose sum is σ = 90698400. Its totient is φ = 14847840.

The previous prime is 38113741. The next prime is 38113769. The reversal of 38113768 is 86731183.

It is a super-2 number, since 2×381137682 = 2905318622315648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38113769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108 + ... + 8731.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 238113768 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 38113768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45349200).

38113768 is an abundant number, since it is smaller than the sum of its proper divisors (52584632).

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

38113768 is a wasteful number, since it uses less digits than its factorization.

38113768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8859 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 38113768 is about 6173.6349098404. The cubic root of 38113768 is about 336.5327197543.

The spelling of 38113768 in words is "thirty-eight million, one hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 8839 17678 35356 61873 70712 97229 123746 194458 247492 388916 433111 494984 680603 777832 866222 1361206 1732444 2722412 3464888 4764221 5444824 9528442 19056884 38113768