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38229696 = 2632312141
BaseRepresentation
bin1001000111010…
…1011011000000
32122221021021200
42101311123000
534241322241
63443221200
7642642561
oct221653300
978837250
1038229696
111a64159a
1210977800
137bc6b2b
145112168
1535524b6
hex24756c0

38229696 has 84 divisors (see below), whose sum is σ = 113166144. Its totient is φ = 12326400.

The previous prime is 38229673. The next prime is 38229701. The reversal of 38229696 is 69692283.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 16786 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (1347216).

Almost surely, 238229696 is an apocalyptic number.

38229696 is a gapful number since it is divisible by the number (36) 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 38229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56583072).

38229696 is an abundant number, since it is smaller than the sum of its proper divisors (74936448).

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

38229696 is a wasteful number, since it uses less digits than its factorization.

38229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2177 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 38229696 is about 6183.0167394242. The cubic root of 38229696 is about 336.8735771307.

The spelling of 38229696 in words is "thirty-eight million, two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2141 2232 2976 4282 4464 5952 6423 8564 8928 12846 17128 17856 19269 25692 34256 38538 51384 66371 68512 77076 102768 132742 137024 154152 199113 205536 265484 308304 398226 411072 530968 597339 616608 796452 1061936 1194678 1233216 1592904 2123872 2389356 3185808 4247744 4778712 6371616 9557424 12743232 19114848 38229696