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48117140 = 225171371033
BaseRepresentation
bin1011011110001…
…1010110010100
310100112121022022
42313203112110
544304222030
64435152312
71122663131
oct267432624
9110477268
1048117140
1125185135
1214145698
139c793a6
146567588
154356de5
hex2de3594

48117140 has 48 divisors (see below), whose sum is σ = 107875152. Its totient is φ = 17965056.

The previous prime is 48117133. The next prime is 48117187. The reversal of 48117140 is 4171184.

It can be written as a sum of positive squares in 8 ways, for example, as 7997584 + 40119556 = 2828^2 + 6334^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46064 + ... + 47096.

It is an arithmetic number, because the mean of its divisors is an integer number (2247399).

Almost surely, 248117140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48117140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53937576).

48117140 is an abundant number, since it is smaller than the sum of its proper divisors (59758012).

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

48117140 is a wasteful number, since it uses less digits than its factorization.

48117140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 48117140 is about 6936.6519301461. The cubic root of 48117140 is about 363.7195138261.

The spelling of 48117140 in words is "forty-eight million, one hundred seventeen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 685 1033 1370 2066 2329 2740 4132 4658 5165 9316 10330 11645 17561 20660 23290 35122 46580 70244 87805 141521 175610 283042 351220 566084 707605 1415210 2405857 2830420 4811714 9623428 12029285 24058570 48117140