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38830176 = 253271117103
BaseRepresentation
bin1001010000100…
…0000001100000
32201001202222200
42110020001200
534420031201
63504133200
7651023340
oct224100140
981052880
1038830176
111aa11760
1211007200
138077248
14522ad20
153620386
hex2508060

38830176 has 288 divisors, whose sum is σ = 147184128. Its totient is φ = 9400320.

The previous prime is 38830171. The next prime is 38830177. The reversal of 38830176 is 67103883.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38830176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38830171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376941 + ... + 377043.

It is an arithmetic number, because the mean of its divisors is an integer number (511056).

Almost surely, 238830176 is an apocalyptic number.

38830176 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 38830176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064).

38830176 is an abundant number, since it is smaller than the sum of its proper divisors (108353952).

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

38830176 is a wasteful number, since it uses less digits than its factorization.

38830176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38830176 is about 6231.3863626002. The cubic root of 38830176 is about 338.6281981092.

The spelling of 38830176 in words is "thirty-eight million, eight hundred thirty thousand, one hundred seventy-six".