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38057376 = 253756633
BaseRepresentation
bin1001000100101…
…1010110100000
32122121111220110
42101023112200
534220314001
63435411320
7641324310
oct221132640
978544813
1038057376
111a534085
12108b3b40
137b66576
1450a9440
15351b3d6
hex244b5a0

38057376 has 48 divisors (see below), whose sum is σ = 114174144. Its totient is φ = 10873344.

The previous prime is 38057363. The next prime is 38057377. The reversal of 38057376 is 67375083.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (38057377) 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, 27645 + ... + 28988.

It is an arithmetic number, because the mean of its divisors is an integer number (2378628).

Almost surely, 238057376 is an apocalyptic number.

It is an amenable number.

38057376 is an abundant number, since it is smaller than the sum of its proper divisors (76116768).

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

38057376 is a wasteful number, since it uses less digits than its factorization.

38057376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56653 (or 56645 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 38057376 is about 6169.0660557332. The cubic root of 38057376 is about 336.3666632218.

Adding to 38057376 its product of nonzero digits (105840), we get a triangular number (38163216 = T8736).

The spelling of 38057376 in words is "thirty-eight million, fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 56633 113266 169899 226532 339798 396431 453064 679596 792862 906128 1189293 1359192 1585724 1812256 2378586 2718384 3171448 4757172 5436768 6342896 9514344 12685792 19028688 38057376