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38228376 = 23317432179
BaseRepresentation
bin1001000111010…
…1000110011000
32122221012110210
42101311012120
534241302001
63443211120
7642635664
oct221650630
978835423
1038228376
111a6405aa
1210976aa0
137bc6354
1451118a4
153551dd6
hex2475198

38228376 has 64 divisors (see below), whose sum is σ = 103593600. Its totient is φ = 11708928.

The previous prime is 38228357. The next prime is 38228381. The reversal of 38228376 is 67382283.

It is a happy number.

It is a super-2 number, since 2×382283762 = 2922817463194752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 16455 + ... + 18633.

It is an arithmetic number, because the mean of its divisors is an integer number (1618650).

Almost surely, 238228376 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 38228376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51796800).

38228376 is an abundant number, since it is smaller than the sum of its proper divisors (65365224).

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

38228376 is a wasteful number, since it uses less digits than its factorization.

38228376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 38228376 is about 6182.9099944929. The cubic root of 38228376 is about 336.8696998809.

The spelling of 38228376 in words is "thirty-eight million, two hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 408 516 731 1032 1462 2179 2193 2924 4358 4386 5848 6537 8716 8772 13074 17432 17544 26148 37043 52296 74086 93697 111129 148172 187394 222258 281091 296344 374788 444516 562182 749576 889032 1124364 1592849 2248728 3185698 4778547 6371396 9557094 12742792 19114188 38228376