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48602680 = 2357237547
BaseRepresentation
bin1011100101100…
…1111000111000
310101110021100021
42321121320320
544420241210
64453420224
71130054530
oct271317070
9111407307
1048602680
1125486a05
121433a674
13a0b93a9
1466524c0
154400bda
hex2e59e38

48602680 has 64 divisors (see below), whose sum is σ = 130429440. Its totient is φ = 15937152.

The previous prime is 48602629. The next prime is 48602681. The reversal of 48602680 is 8620684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48602681) 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, 2667 + ... + 10213.

It is an arithmetic number, because the mean of its divisors is an integer number (2037960).

Almost surely, 248602680 is an apocalyptic number.

48602680 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 48602680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65214720).

48602680 is an abundant number, since it is smaller than the sum of its proper divisors (81826760).

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

48602680 is a wasteful number, since it uses less digits than its factorization.

48602680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 48602680 is about 6971.5622352526. The cubic root of 48602680 is about 364.9388275540.

The spelling of 48602680 in words is "forty-eight million, six hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 7547 15094 30188 37735 52829 60376 75470 105658 150940 173581 211316 264145 301880 347162 422632 528290 694324 867905 1056580 1215067 1388648 1735810 2113160 2430134 3471620 4860268 6075335 6943240 9720536 12150670 24301340 48602680