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38941056 = 2732711439
BaseRepresentation
bin1001010010001…
…1000110000000
32201021102002100
42110203012000
534432103211
63510350400
7651664530
oct224430600
981242070
1038941056
111aa87aa0
121105b400
1380b585b
1452594c0
153643156
hex2523180

38941056 has 192 divisors, whose sum is σ = 140025600. Its totient is φ = 10091520.

The previous prime is 38941039. The next prime is 38941079. The reversal of 38941056 is 65014983.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38941056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88485 + ... + 88923.

It is an arithmetic number, because the mean of its divisors is an integer number (729300).

Almost surely, 238941056 is an apocalyptic number.

38941056 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 38941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70012800).

38941056 is an abundant number, since it is smaller than the sum of its proper divisors (101084544).

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

38941056 is a wasteful number, since it uses less digits than its factorization.

38941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38941056 is about 6240.2769169325. The cubic root of 38941056 is about 338.9502106636.

It can be divided in two parts, 3894 and 1056, that added together give a triangular number (4950 = T99).

The spelling of 38941056 in words is "thirty-eight million, nine hundred forty-one thousand, fifty-six".