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38132088 = 23317194919
BaseRepresentation
bin1001000101110…
…1100101111000
32122202022101120
42101131211320
534230211323
63441145240
7642055161
oct221354570
978668346
1038132088
111a585225
121092b220
137b91587
1450c8768
1535335e3
hex245d978

38132088 has 64 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 11331072.

The previous prime is 38132053. The next prime is 38132093. The reversal of 38132088 is 88023183.

38132088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381320882 = 2908112270479488, which contains 22 as substring.

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, 5293 + ... + 10211.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500).

Almost surely, 238132088 is an apocalyptic number.

38132088 is a gapful number since it is divisible by the number (38) 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 38132088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136000).

38132088 is an abundant number, since it is smaller than the sum of its proper divisors (68139912).

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

38132088 is a wasteful number, since it uses less digits than its factorization.

38132088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 38132088 is about 6175.1184604022. The cubic root of 38132088 is about 336.5866310852.

The spelling of 38132088 in words is "thirty-eight million, one hundred thirty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 4919 7752 9838 14757 19676 29514 39352 59028 83623 93461 118056 167246 186922 250869 280383 334492 373844 501738 560766 668984 747688 1003476 1121532 1588837 2006952 2243064 3177674 4766511 6355348 9533022 12710696 19066044 38132088