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2524412340 = 2232524158193
BaseRepresentation
bin1001011001110111…
…0111100110110100
320111221010102201100
42112131313212310
520132222143330
61054254530100
7116362102512
oct22635674664
96457112640
102524412340
111085a6839a
125a5506930
13312cc9018
1419d3a74b2
15eb94e060
hex967779b4

2524412340 has 72 divisors (see below), whose sum is σ = 7689289608. Its totient is φ = 670371840.

The previous prime is 2524412339. The next prime is 2524412369. The reversal of 2524412340 is 432144252.

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 2036355876 = 22092^2 + 45126^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14284 + ... + 72476.

It is an arithmetic number, because the mean of its divisors is an integer number (106795689).

Almost surely, 22524412340 is an apocalyptic number.

2524412340 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 2524412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844644804).

2524412340 is an abundant number, since it is smaller than the sum of its proper divisors (5164877268).

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

2524412340 is a wasteful number, since it uses less digits than its factorization.

2524412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58449 (or 58444 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2524412340 is about 50243.5303297847. The cubic root of 2524412340 is about 1361.6121920458.

Adding to 2524412340 its reverse (432144252), we get a palindrome (2956556592).

The spelling of 2524412340 in words is "two billion, five hundred twenty-four million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 58193 116386 174579 232772 290965 349158 523737 581930 698316 872895 1047474 1163860 1745790 2094948 2618685 3491580 5237370 10474740 14024513 28049026 42073539 56098052 70122565 84147078 126220617 140245130 168294156 210367695 252441234 280490260 420735390 504882468 631103085 841470780 1262206170 2524412340