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48081360 = 2435892251
BaseRepresentation
bin1011011101101…
…0100111010000
310100110210020010
42313122213100
544302100420
64434314520
71122453615
oct267324720
9110423203
1048081360
1125160268
1214128a40
139c66012
14655850c
15434b4e0
hex2dda9d0

48081360 has 80 divisors (see below), whose sum is σ = 150793920. Its totient is φ = 12672000.

The previous prime is 48081349. The next prime is 48081367. The reversal of 48081360 is 6318084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480813603 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48081367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20235 + ... + 22485.

It is an arithmetic number, because the mean of its divisors is an integer number (1884924).

Almost surely, 248081360 is an apocalyptic number.

48081360 is a gapful number since it is divisible by the number (40) 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 48081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75396960).

48081360 is an abundant number, since it is smaller than the sum of its proper divisors (102712560).

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

48081360 is a wasteful number, since it uses less digits than its factorization.

48081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 48081360 is about 6934.0723965070. The cubic root of 48081360 is about 363.6293372885.

The spelling of 48081360 in words is "forty-eight million, eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2251 2670 3560 4272 4502 5340 6753 7120 9004 10680 11255 13506 18008 21360 22510 27012 33765 36016 45020 54024 67530 90040 108048 135060 180080 200339 270120 400678 540240 601017 801356 1001695 1202034 1602712 2003390 2404068 3005085 3205424 4006780 4808136 6010170 8013560 9616272 12020340 16027120 24040680 48081360