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38943920 = 2451925621
BaseRepresentation
bin1001010010001…
…1110010110000
32201021120000102
42110203302300
534432201140
63510411532
7652006061
oct224436260
981246012
1038943920
111aa8a164
1211060ba8
1380b6c52
14525a568
153643e15
hex2523cb0

38943920 has 40 divisors (see below), whose sum is σ = 95313840. Its totient is φ = 14757120.

The previous prime is 38943887. The next prime is 38943941. The reversal of 38943920 is 2934983.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 11291 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (2382846).

Almost surely, 238943920 is an apocalyptic number.

It is an amenable number.

38943920 is an abundant number, since it is smaller than the sum of its proper divisors (56369920).

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

38943920 is a wasteful number, since it uses less digits than its factorization.

38943920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25653 (or 25647 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 38943920 is about 6240.5063897091. The cubic root of 38943920 is about 338.9585200565.

The spelling of 38943920 in words is "thirty-eight million, nine hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 25621 51242 102484 128105 204968 256210 409936 486799 512420 973598 1024840 1947196 2049680 2433995 3894392 4867990 7788784 9735980 19471960 38943920