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2524561340 = 225726738449
BaseRepresentation
bin1001011001111001…
…1011111110111100
320111221102000002212
42112132123332330
520132241430330
61054302035552
7116363263100
oct22636337674
96457360085
102524561340
11108605a334
125a5578bb8
1331304baa2
1419d405900
15eb97d295
hex9679bfbc

2524561340 has 72 divisors (see below), whose sum is σ = 6259352400. Its totient is φ = 852622848.

The previous prime is 2524561339. The next prime is 2524561373. The reversal of 2524561340 is 431654252.

It is a junction number, because it is equal to n+sod(n) for n = 2524561297 and 2524561306.

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, 46436 + ... + 84884.

It is an arithmetic number, because the mean of its divisors is an integer number (86935450).

Almost surely, 22524561340 is an apocalyptic number.

2524561340 is a gapful number since it is divisible by the number (20) 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 2524561340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129676200).

2524561340 is an abundant number, since it is smaller than the sum of its proper divisors (3734791060).

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

2524561340 is a wasteful number, since it uses less digits than its factorization.

2524561340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38539 (or 38530 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2524561340 is about 50245.0130858775. The cubic root of 2524561340 is about 1361.6389806205.

The spelling of 2524561340 in words is "two billion, five hundred twenty-four million, five hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 670 938 980 1340 1876 2345 3283 4690 6566 9380 13132 16415 32830 38449 65660 76898 153796 192245 269143 384490 538286 768980 1076572 1345715 1884001 2576083 2691430 3768002 5152166 5382860 7536004 9420005 10304332 12880415 18032581 18840010 25760830 36065162 37680020 51521660 72130324 90162905 126228067 180325810 252456134 360651620 504912268 631140335 1262280670 2524561340