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38025856 = 2711113239
BaseRepresentation
bin1001000100001…
…1101010000000
32122112220200001
42101003222000
534213311411
63435005344
7641133361
oct221035200
978486601
1038025856
111a512430
1210899854
137b5510b
14509bb68
153511dc1
hex2443a80

38025856 has 64 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 17059840.

The previous prime is 38025853. The next prime is 38025881. The reversal of 38025856 is 65852083.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38025853) 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, 158985 + ... + 159223.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 238025856 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 38025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

38025856 is an abundant number, since it is smaller than the sum of its proper divisors (45695744).

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

38025856 is a wasteful number, since it uses less digits than its factorization.

38025856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 38025856 is about 6166.5108448782. The cubic root of 38025856 is about 336.2737753535.

The spelling of 38025856 in words is "thirty-eight million, twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 239 352 452 478 704 904 956 1243 1408 1808 1912 2486 2629 3616 3824 4972 5258 7232 7648 9944 10516 14464 15296 19888 21032 27007 30592 39776 42064 54014 79552 84128 108028 159104 168256 216056 297077 336512 432112 594154 864224 1188308 1728448 2376616 3456896 4753232 9506464 19012928 38025856