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38320056 = 2332796737
BaseRepresentation
bin1001001000101…
…1011110111000
32200002212020100
42102023132320
534302220211
63445155400
7643500165
oct222133670
980085210
1038320056
111a6a3475
12109bbb60
137c28cb8
14513706c
15356e156
hex248b7b8

38320056 has 48 divisors (see below), whose sum is σ = 105112800. Its totient is φ = 12609792.

The previous prime is 38320043. The next prime is 38320063. The reversal of 38320056 is 65002383.

38320056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2320 + ... + 9056.

It is an arithmetic number, because the mean of its divisors is an integer number (2189850).

Almost surely, 238320056 is an apocalyptic number.

38320056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38320056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52556400).

38320056 is an abundant number, since it is smaller than the sum of its proper divisors (66792744).

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

38320056 is a wasteful number, since it uses less digits than its factorization.

38320056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 38320056 is about 6190.3195394099. The cubic root of 38320056 is about 337.1387806103.

The spelling of 38320056 in words is "thirty-eight million, three hundred twenty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 6737 13474 20211 26948 40422 53896 60633 80844 121266 161688 242532 485064 532223 1064446 1596669 2128892 3193338 4257784 4790007 6386676 9580014 12773352 19160028 38320056