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38614912 = 27771607
BaseRepresentation
bin1001001101001…
…1011110000000
32200122211200221
42103103132000
534341134122
63455352424
7646135630
oct223233600
980584627
1038614912
111a884a56
1210b22714
13800027b
1451b26c0
1535cb6c7
hex24d3780

38614912 has 64 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 16289280.

The previous prime is 38614889. The next prime is 38614913. The reversal of 38614912 is 21941683.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×386149122 = 2982222857535488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38614913) 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 7 ways as a sum of consecutive naturals, for example, 63313 + ... + 63919.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 238614912 is an apocalyptic number.

38614912 is a gapful number since it is divisible by the number (32) 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 38614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520).

38614912 is an abundant number, since it is smaller than the sum of its proper divisors (50688128).

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

38614912 is an equidigital number, since it uses as much as digits as its factorization.

38614912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 38614912 is about 6214.0897965832. The cubic root of 38614912 is about 338.0012837970.

The spelling of 38614912 in words is "thirty-eight million, six hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 607 896 994 1136 1214 1988 2272 2428 3976 4249 4544 4856 7952 8498 9088 9712 15904 16996 19424 31808 33992 38848 43097 63616 67984 77696 86194 135968 172388 271936 301679 344776 543872 603358 689552 1206716 1379104 2413432 2758208 4826864 5516416 9653728 19307456 38614912