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38093904 = 24321272083
BaseRepresentation
bin1001000101010…
…0010001010000
32122200101000100
42101110101100
534223001104
63440252400
7641535642
oct221242120
978611010
1038093904
111a559572
1210911100
137b7a094
1450b8892
153527139
hex2454450

38093904 has 60 divisors (see below), whose sum is σ = 107501056. Its totient is φ = 12591936.

The previous prime is 38093903. The next prime is 38093927. The reversal of 38093904 is 40939083.

It is a super-2 number, since 2×380939042 = 2902291043922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38093903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17247 + ... + 19329.

Almost surely, 238093904 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 38093904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53750528).

38093904 is an abundant number, since it is smaller than the sum of its proper divisors (69407152).

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

38093904 is a wasteful number, since it uses less digits than its factorization.

38093904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38093904 is about 6172.0259234712. The cubic root of 38093904 is about 336.4742452803.

The spelling of 38093904 in words is "thirty-eight million, ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2083 2286 3048 4166 4572 6096 6249 8332 9144 12498 16664 18288 18747 24996 33328 37494 49992 74988 99984 149976 264541 299952 529082 793623 1058164 1587246 2116328 2380869 3174492 4232656 4761738 6348984 9523476 12697968 19046952 38093904