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38297792 = 2613191241
BaseRepresentation
bin1001001000011…
…0000011000000
32200001201200202
42102012003000
534301012132
63444504332
7643345241
oct222060300
980051622
1038297792
111a688775
12109ab0a8
137c1bb20
14512ccc8
153567762
hex24860c0

38297792 has 56 divisors (see below), whose sum is σ = 82612992. Its totient is φ = 17510400.

The previous prime is 38297789. The next prime is 38297801. The reversal of 38297792 is 29779283.

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 7 ways as a sum of consecutive naturals, for example, 158792 + ... + 159032.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 238297792 is an apocalyptic number.

38297792 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 38297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41306496).

38297792 is an abundant number, since it is smaller than the sum of its proper divisors (44315200).

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

38297792 is a wasteful number, since it uses less digits than its factorization.

38297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 38297792 is about 6188.5209864716. The cubic root of 38297792 is about 337.0734752782.

It can be divided in two parts, 382 and 97792, that multiplied together give a square (37356544 = 61122).

The spelling of 38297792 in words is "thirty-eight million, two hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 191 208 241 382 416 482 764 832 964 1528 1928 2483 3056 3133 3856 4966 6112 6266 7712 9932 12224 12532 15424 19864 25064 39728 46031 50128 79456 92062 100256 158912 184124 200512 368248 598403 736496 1196806 1472992 2393612 2945984 4787224 9574448 19148896 38297792