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48316560 = 2435238753
BaseRepresentation
bin1011100001010…
…0000010010000
310100220201212020
42320110002100
544332112220
64443331440
71124453415
oct270240220
9110821766
1048316560
1125300a46
1214220b80
13a0190a6
1465ba10c
154396040
hex2e14090

48316560 has 80 divisors (see below), whose sum is σ = 156311424. Its totient is φ = 12322816.

The previous prime is 48316553. The next prime is 48316589. The reversal of 48316560 is 6561384.

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

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, 1144 + ... + 9896.

Almost surely, 248316560 is an apocalyptic number.

48316560 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 48316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78155712).

48316560 is an abundant number, since it is smaller than the sum of its proper divisors (107994864).

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

48316560 is a wasteful number, since it uses less digits than its factorization.

48316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 48316560 is about 6951.0114371939. The cubic root of 48316560 is about 364.2212960185.

The spelling of 48316560 in words is "forty-eight million, three hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 8753 17506 26259 35012 43765 52518 70024 87530 105036 131295 140048 175060 201319 210072 262590 350120 402638 420144 525180 603957 700240 805276 1006595 1050360 1207914 1610552 2013190 2100720 2415828 3019785 3221104 4026380 4831656 6039570 8052760 9663312 12079140 16105520 24158280 48316560