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38881128 = 233111311329
BaseRepresentation
bin1001010001010…
…0011101101000
32201011100212210
42110110131220
534423144003
63505205120
7651325026
oct224243550
981140783
1038881128
111aa46a70
12110307a0
1380944b0
145241716
153630503
hex2514768

38881128 has 64 divisors (see below), whose sum is σ = 114206400. Its totient is φ = 10874880.

The previous prime is 38881123. The next prime is 38881133. The reversal of 38881128 is 82118883.

It is an interprime number because it is at equal distance from previous prime (38881123) and next prime (38881133).

It is a super-2 number, since 2×388811282 = 3023484229104768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38881121) 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 15 ways as a sum of consecutive naturals, for example, 2233 + ... + 9096.

It is an arithmetic number, because the mean of its divisors is an integer number (1784475).

Almost surely, 238881128 is an apocalyptic number.

It is an amenable number.

38881128 is an abundant number, since it is smaller than the sum of its proper divisors (75325272).

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

38881128 is a wasteful number, since it uses less digits than its factorization.

38881128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362 (or 11358 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 38881128 is about 6235.4733581341. The cubic root of 38881128 is about 338.7762465650.

The spelling of 38881128 in words is "thirty-eight million, eight hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 11329 22658 33987 45316 67974 90632 124619 135948 147277 249238 271896 294554 373857 441831 498476 589108 747714 883662 996952 1178216 1495428 1620047 1767324 2990856 3240094 3534648 4860141 6480188 9720282 12960376 19440564 38881128