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38903904 = 25321310391
BaseRepresentation
bin1001010001101…
…0000001100000
32201012112010100
42110122001200
534424411104
63505502400
7651451314
oct224320140
981175110
1038903904
111aa62096
1211041a00
1380a1980
145249b44
153637139
hex251a060

38903904 has 72 divisors (see below), whose sum is σ = 119154672. Its totient is φ = 11969280.

The previous prime is 38903897. The next prime is 38903933. The reversal of 38903904 is 40930983.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452 + ... + 8939.

It is an arithmetic number, because the mean of its divisors is an integer number (1654926).

Almost surely, 238903904 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 38903904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59577336).

38903904 is an abundant number, since it is smaller than the sum of its proper divisors (80250768).

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

38903904 is a wasteful number, since it uses less digits than its factorization.

38903904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10409 counting only the distinct ones).

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

The square root of 38903904 is about 6237.2994156125. The cubic root of 38903904 is about 338.8423837207.

The spelling of 38903904 in words is "thirty-eight million, nine hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 10391 20782 31173 41564 62346 83128 93519 124692 135083 166256 187038 249384 270166 332512 374076 405249 498768 540332 748152 810498 997536 1080664 1215747 1496304 1620996 2161328 2431494 2992608 3241992 4322656 4862988 6483984 9725976 12967968 19451952 38903904