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38480192 = 261015953
BaseRepresentation
bin1001001011001…
…0100101000000
32200101222220022
42102302211000
534322331232
63452433012
7645035102
oct222624500
980358808
1038480192
111a7a2813
1210a78768
137c83b5a
145179572
1535a1812
hex24b2940

38480192 has 28 divisors (see below), whose sum is σ = 77128116. Its totient is φ = 19046400.

The previous prime is 38480179. The next prime is 38480201. The reversal of 38480192 is 29108483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17172736 + 21307456 = 4144^2 + 4616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3488 + ... + 9440.

Almost surely, 238480192 is an apocalyptic number.

38480192 is a gapful number since it is divisible by the number (32) 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 38480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38564058).

38480192 is an abundant number, since it is smaller than the sum of its proper divisors (38647924).

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

38480192 is a wasteful number, since it uses less digits than its factorization.

38480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 38480192 is about 6203.2404435101. The cubic root of 38480192 is about 337.6077519689.

The spelling of 38480192 in words is "thirty-eight million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 5953 6464 11906 23812 47624 95248 190496 380992 601253 1202506 2405012 4810024 9620048 19240096 38480192