Search a number
-
+
2652646948 = 2272231813251
BaseRepresentation
bin1001111000011100…
…0010111000100100
320211212102102112021
42132013002320210
520413034200243
61115115232524
7122510061400
oct23607027044
96755372467
102652646948
111141393a06
12620448744
133337470a3
141b2428100
15107d2e6ed
hex9e1c2e24

2652646948 has 72 divisors (see below), whose sum is σ = 5667689664. Its totient is φ = 1081080000.

The previous prime is 2652646939. The next prime is 2652646993. The reversal of 2652646948 is 8496462562.

It is a junction number, because it is equal to n+sod(n) for n = 2652646895 and 2652646904.

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, 814323 + ... + 817573.

It is an arithmetic number, because the mean of its divisors is an integer number (78717912).

Almost surely, 22652646948 is an apocalyptic number.

2652646948 is a gapful number since it is divisible by the number (28) 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 2652646948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833844832).

2652646948 is an abundant number, since it is smaller than the sum of its proper divisors (3015042716).

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

2652646948 is a wasteful number, since it uses less digits than its factorization.

2652646948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3464 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The square root of 2652646948 is about 51503.8537198917. The cubic root of 2652646948 is about 1384.2880949089.

The spelling of 2652646948 in words is "two billion, six hundred fifty-two million, six hundred forty-six thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 181 196 322 362 644 724 1127 1267 2254 2534 3251 4163 4508 5068 6502 8326 8869 13004 16652 17738 22757 29141 35476 45514 58282 74773 91028 116564 149546 159299 203987 299092 318598 407974 523411 588431 637196 815948 1046822 1176862 2093644 2353724 3663877 4119017 7327754 8238034 13533913 14655508 16476068 27067826 28833119 54135652 57666238 94737391 115332476 189474782 378949564 663161737 1326323474 2652646948