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38000352 = 2531330449
BaseRepresentation
bin1001000011110…
…1011011100000
32122111121200110
42100331123200
534212002402
63434251320
7640666125
oct220753340
978447613
1038000352
111a4a5255
1210886b40
137b46620
14509274c
15350956c
hex243d6e0

38000352 has 48 divisors (see below), whose sum is σ = 107427600. Its totient is φ = 11692032.

The previous prime is 38000351. The next prime is 38000359. The reversal of 38000352 is 25300083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38000351) 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, 13977 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (2238075).

Almost surely, 238000352 is an apocalyptic number.

38000352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38000352 is an abundant number, since it is smaller than the sum of its proper divisors (69427248).

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

38000352 is a wasteful number, since it uses less digits than its factorization.

38000352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30475 (or 30467 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 38000352 is about 6164.4425538730. The cubic root of 38000352 is about 336.1985787603.

The spelling of 38000352 in words is "thirty-eight million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 30449 60898 91347 121796 182694 243592 365388 395837 487184 730776 791674 974368 1187511 1461552 1583348 2375022 2923104 3166696 4750044 6333392 9500088 12666784 19000176 38000352