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48682660 = 225131131657
BaseRepresentation
bin1011100110110…
…1011010100100
310101121100001111
42321231122210
544430321120
64455234404
71130536645
oct271553244
9111540044
1048682660
1125531004
1214378a04
13a116910
1466736cc
15441975a
hex2e6d6a4

48682660 has 48 divisors (see below), whose sum is σ = 111139056. Its totient is φ = 17805312.

The previous prime is 48682657. The next prime is 48682661. The reversal of 48682660 is 6628684.

It can be written as a sum of positive squares in 8 ways, for example, as 19501056 + 29181604 = 4416^2 + 5402^2 .

It is not an unprimeable number, because it can be changed into a prime (48682661) 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, 28552 + ... + 30208.

It is an arithmetic number, because the mean of its divisors is an integer number (2315397).

Almost surely, 248682660 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 48682660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55569528).

48682660 is an abundant number, since it is smaller than the sum of its proper divisors (62456396).

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

48682660 is a wasteful number, since it uses less digits than its factorization.

48682660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 48682660 is about 6977.2960378645. The cubic root of 48682660 is about 365.1388975343.

The spelling of 48682660 in words is "forty-eight million, six hundred eighty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 1657 2260 2938 3314 5876 6628 7345 8285 14690 16570 21541 29380 33140 43082 86164 107705 187241 215410 374482 430820 748964 936205 1872410 2434133 3744820 4868266 9736532 12170665 24341330 48682660