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2752270520 = 235293176537
BaseRepresentation
bin1010010000001100…
…0101000010111000
321002210212211101012
42210003011002320
521114040124040
61133034413052
7125126625206
oct24403050270
97083784335
102752270520
11119264863a
12649891188
1334b28844c
141c175c076
1511195c865
hexa40c50b8

2752270520 has 64 divisors (see below), whose sum is σ = 6612883200. Its totient is φ = 1028643840.

The previous prime is 2752270501. The next prime is 2752270523. The reversal of 2752270520 is 250722572.

It is a super-2 number, since 2×27522705202 = 15149986030522140800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752270523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2309 + ... + 74228.

It is an arithmetic number, because the mean of its divisors is an integer number (103326300).

Almost surely, 22752270520 is an apocalyptic number.

2752270520 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 2752270520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306441600).

2752270520 is an abundant number, since it is smaller than the sum of its proper divisors (3860612680).

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

2752270520 is a wasteful number, since it uses less digits than its factorization.

2752270520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76608 (or 76604 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 2752270520 is about 52462.0865006340. The cubic root of 2752270520 is about 1401.4051402492.

The spelling of 2752270520 in words is "two billion, seven hundred fifty-two million, two hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1798 3596 4495 7192 8990 17980 35960 76537 153074 306148 382685 612296 765370 1530740 2219573 2372647 3061480 4439146 4745294 8878292 9490588 11097865 11863235 17756584 18981176 22195730 23726470 44391460 47452940 68806763 88782920 94905880 137613526 275227052 344033815 550454104 688067630 1376135260 2752270520