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48731400 = 23325227073
BaseRepresentation
bin1011100111100…
…1010100001000
310101200210220200
42321321110020
544433401100
64500252200
71131132024
oct271712410
9111623820
1048731400
1125564693
12143a1060
13a132b63
146687384
154428e00
hex2e79508

48731400 has 72 divisors (see below), whose sum is σ = 163662330. Its totient is φ = 12994560.

The previous prime is 48731381. The next prime is 48731407. The reversal of 48731400 is 413784.

It can be written as a sum of positive squares in 3 ways, for example, as 36072036 + 12659364 = 6006^2 + 3558^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (48731407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11737 + ... + 15336.

Almost surely, 248731400 is an apocalyptic number.

48731400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48731400 is an abundant number, since it is smaller than the sum of its proper divisors (114930930).

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

48731400 is a wasteful number, since it uses less digits than its factorization.

48731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27095 (or 27083 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48731400 is about 6980.7879211447. The cubic root of 48731400 is about 365.2607132135.

The spelling of 48731400 in words is "forty-eight million, seven hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 27073 54146 81219 108292 135365 162438 216584 243657 270730 324876 406095 487314 541460 649752 676825 812190 974628 1082920 1218285 1353650 1624380 1949256 2030475 2436570 2707300 3248760 4060950 4873140 5414600 6091425 8121900 9746280 12182850 16243800 24365700 48731400