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38660352 = 28371709
BaseRepresentation
bin1001001101111…
…0100100000000
32200202011000220
42103132210000
534344112402
63500343040
7646415253
oct223364400
980664026
1038660352
111a906105
1210b44a80
138017b63
1451c509a
1535d9dbc
hex24de900

38660352 has 72 divisors (see below), whose sum is σ = 104489280. Its totient is φ = 12687360.

The previous prime is 38660341. The next prime is 38660353. The reversal of 38660352 is 25306683.

It is not an unprimeable number, because it can be changed into a prime (38660353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54174 + ... + 54882.

It is an arithmetic number, because the mean of its divisors is an integer number (1451240).

Almost surely, 238660352 is an apocalyptic number.

38660352 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 38660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52244640).

38660352 is an abundant number, since it is smaller than the sum of its proper divisors (65828928).

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

38660352 is an equidigital number, since it uses as much as digits as its factorization.

38660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 38660352 is about 6217.7449288307. The cubic root of 38660352 is about 338.1338125449.

The spelling of 38660352 in words is "thirty-eight million, six hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 709 768 852 1136 1418 1704 2127 2272 2836 3408 4254 4544 5672 6816 8508 9088 11344 13632 17016 18176 22688 27264 34032 45376 50339 54528 68064 90752 100678 136128 151017 181504 201356 272256 302034 402712 544512 604068 805424 1208136 1610848 2416272 3221696 4832544 6443392 9665088 12886784 19330176 38660352