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38090752 = 21172657
BaseRepresentation
bin1001000101001…
…1100000000000
32122200012200121
42101103200000
534222401002
63440230024
7641523520
oct221234000
978605617
1038090752
111a557167
121090b314
137b7880b
1450b7680
153526237
hex2453800

38090752 has 48 divisors (see below), whose sum is σ = 87076080. Its totient is φ = 16318464.

The previous prime is 38090749. The next prime is 38090771. The reversal of 38090752 is 25709083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13008 + ... + 15664.

It is an arithmetic number, because the mean of its divisors is an integer number (1814085).

Almost surely, 238090752 is an apocalyptic number.

38090752 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 38090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43538040).

38090752 is an abundant number, since it is smaller than the sum of its proper divisors (48985328).

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

38090752 is an equidigital number, since it uses as much as digits as its factorization.

38090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 38090752 is about 6171.7705725343. The cubic root of 38090752 is about 336.4649647396.

The spelling of 38090752 in words is "thirty-eight million, ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2657 3584 5314 7168 10628 14336 18599 21256 37198 42512 74396 85024 148792 170048 297584 340096 595168 680192 1190336 1360384 2380672 2720768 4761344 5441536 9522688 19045376 38090752