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38090688 = 263296841
BaseRepresentation
bin1001000101001…
…1011111000000
32122200012121020
42101103133000
534222400223
63440225440
7641523366
oct221233700
978605536
1038090688
111a557109
121090b280
137b7878c
1450b7636
1535261e3
hex24537c0

38090688 has 56 divisors (see below), whose sum is σ = 104272080. Its totient is φ = 12257280.

The previous prime is 38090683. The next prime is 38090699. The reversal of 38090688 is 88609083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38090683) 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, 2148 + ... + 8988.

Almost surely, 238090688 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 38090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52136040).

38090688 is an abundant number, since it is smaller than the sum of its proper divisors (66181392).

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

38090688 is a wasteful number, since it uses less digits than its factorization.

38090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 38090688 is about 6171.7653876342. The cubic root of 38090688 is about 336.4647762969.

The spelling of 38090688 in words is "thirty-eight million, ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 6841 13682 20523 27364 41046 54728 82092 109456 164184 198389 218912 328368 396778 437824 595167 656736 793556 1190334 1313472 1587112 2380668 3174224 4761336 6348448 9522672 12696896 19045344 38090688