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38118352 = 2417353397
BaseRepresentation
bin1001000101101…
…0001111010000
32122201121112211
42101122033100
534224241402
63441001504
7642000136
oct221321720
978647484
1038118352
111a575978
1210923294
137b8824c
1450c3756
15352e4d7
hex245a3d0

38118352 has 40 divisors (see below), whose sum is σ = 78617736. Its totient is φ = 17842176.

The previous prime is 38118329. The next prime is 38118361. The reversal of 38118352 is 25381183.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 26666896 = 3384^2 + 5164^2 .

It is a congruent number.

It is an unprimeable number.

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, 95818 + ... + 96214.

Almost surely, 238118352 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 38118352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39308868).

38118352 is an abundant number, since it is smaller than the sum of its proper divisors (40499384).

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

38118352 is a wasteful number, since it uses less digits than its factorization.

38118352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 38118352 is about 6174.0061548398. The cubic root of 38118352 is about 336.5462109784.

The spelling of 38118352 in words is "thirty-eight million, one hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 353 397 706 794 1412 1588 2824 3176 5648 6001 6352 6749 12002 13498 24004 26996 48008 53992 96016 107984 140141 280282 560564 1121128 2242256 2382397 4764794 9529588 19059176 38118352