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48935160 = 23325181751
BaseRepresentation
bin1011101010101…
…1000011111000
310102002011102100
42322223003320
5100011411120
64504503400
71132641051
oct272530370
9112064370
1048935160
112569378a
121447ab60
13a1a4821
1466db728
154469490
hex2eab0f8

48935160 has 96 divisors (see below), whose sum is σ = 160130880. Its totient is φ = 12960000.

The previous prime is 48935153. The next prime is 48935171. The reversal of 48935160 is 6153984.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64785 + ... + 65535.

It is an arithmetic number, because the mean of its divisors is an integer number (1668030).

Almost surely, 248935160 is an apocalyptic number.

48935160 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 48935160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80065440).

48935160 is an abundant number, since it is smaller than the sum of its proper divisors (111195720).

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

48935160 is a wasteful number, since it uses less digits than its factorization.

48935160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 48935160 is about 6995.3670382618. The cubic root of 48935160 is about 365.7690920118.

The spelling of 48935160 in words is "forty-eight million, nine hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 751 905 1086 1448 1502 1629 1810 2172 2253 2715 3004 3258 3620 3755 4344 4506 5430 6008 6516 6759 7240 7510 8145 9012 10860 11265 13032 13518 15020 16290 18024 21720 22530 27036 30040 32580 33795 45060 54072 65160 67590 90120 135180 135931 270360 271862 407793 543724 679655 815586 1087448 1223379 1359310 1631172 2038965 2446758 2718620 3262344 4077930 4893516 5437240 6116895 8155860 9787032 12233790 16311720 24467580 48935160