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38120896 = 2611173313
BaseRepresentation
bin1001000101101…
…0110111000000
32122201202001001
42101122313000
534224332041
63441021344
7642010432
oct221326700
978652031
1038120896
111a577880
1210924854
137b89458
1450c4652
153530131
hex245adc0

38120896 has 56 divisors (see below), whose sum is σ = 83265264. Its totient is φ = 17172480.

The previous prime is 38120893. The next prime is 38120909. The reversal of 38120896 is 69802183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38120891) 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, 121636 + ... + 121948.

Almost surely, 238120896 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 38120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41632632).

38120896 is an abundant number, since it is smaller than the sum of its proper divisors (45144368).

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

38120896 is a wasteful number, since it uses less digits than its factorization.

38120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 38120896 is about 6174.2121764643. The cubic root of 38120896 is about 336.5536977878.

The spelling of 38120896 in words is "thirty-eight million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 173 176 313 346 352 626 692 704 1252 1384 1903 2504 2768 3443 3806 5008 5536 6886 7612 10016 11072 13772 15224 20032 27544 30448 54149 55088 60896 108298 110176 121792 216596 220352 433192 595639 866384 1191278 1732768 2382556 3465536 4765112 9530224 19060448 38120896