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38884080 = 2435162017
BaseRepresentation
bin1001010001010…
…1001011110000
32201011111221010
42110111023300
534423242310
63505230520
7651336444
oct224251360
981144833
1038884080
111aa49204
1211032440
138095941
145242824
153631320
hex25152f0

38884080 has 40 divisors (see below), whose sum is σ = 120541392. Its totient is φ = 10369024.

The previous prime is 38884067. The next prime is 38884081. The reversal of 38884080 is 8048883.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38884081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80769 + ... + 81248.

Almost surely, 238884080 is an apocalyptic number.

38884080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38884080 is an abundant number, since it is smaller than the sum of its proper divisors (81657312).

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

38884080 is a wasteful number, since it uses less digits than its factorization.

38884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162033 (or 162027 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 38884080 is about 6235.7100638179. The cubic root of 38884080 is about 338.7848200660.

The spelling of 38884080 in words is "thirty-eight million, eight hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 162017 324034 486051 648068 810085 972102 1296136 1620170 1944204 2430255 2592272 3240340 3888408 4860510 6480680 7776816 9721020 12961360 19442040 38884080