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38816268 = 22329711571
BaseRepresentation
bin1001010000010…
…0101000001100
32201001001220120
42110010220030
534414110033
63503544540
7650634651
oct224045014
981031816
1038816268
111aa02267
1210bbb150
138070b0a
145225c28
15361b1b3
hex2504a0c

38816268 has 48 divisors (see below), whose sum is σ = 95074560. Its totient is φ = 12308800.

The previous prime is 38816263. The next prime is 38816269. The reversal of 38816268 is 86261883.

It is a super-2 number, since 2×388162682 = 3013405322895648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38816263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23923 + ... + 25493.

It is an arithmetic number, because the mean of its divisors is an integer number (1980720).

Almost surely, 238816268 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 38816268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47537280).

38816268 is an abundant number, since it is smaller than the sum of its proper divisors (56258292).

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

38816268 is a wasteful number, since it uses less digits than its factorization.

38816268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 38816268 is about 6230.2702991122. The cubic root of 38816268 is about 338.5877638914.

The spelling of 38816268 in words is "thirty-eight million, eight hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 1571 2059 3142 4118 4713 6177 6284 8236 9426 12354 18852 24708 45559 91118 111541 136677 182236 223082 273354 334623 446164 546708 669246 1338492 3234689 6469378 9704067 12938756 19408134 38816268