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2795464540 = 2251171191937
BaseRepresentation
bin1010011010011111…
…0110011101011100
321012211011022102201
42212213312131130
521211114331130
61141220301244
7126163025251
oct24647663534
97184138381
102795464540
111204a6a980
12660241824
133571cca3b
141c73a3428
15115640bca
hexa69f675c

2795464540 has 96 divisors (see below), whose sum is σ = 6535323648. Its totient is φ = 995904000.

The previous prime is 2795464531. The next prime is 2795464549. The reversal of 2795464540 is 454645972.

It is an interprime number because it is at equal distance from previous prime (2795464531) and next prime (2795464549).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2795464549) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2982952 + ... + 2983888.

It is an arithmetic number, because the mean of its divisors is an integer number (68076288).

Almost surely, 22795464540 is an apocalyptic number.

2795464540 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 2795464540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267661824).

2795464540 is an abundant number, since it is smaller than the sum of its proper divisors (3739859108).

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

2795464540 is a wasteful number, since it uses less digits than its factorization.

2795464540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The square root of 2795464540 is about 52872.1527838616. The cubic root of 2795464540 is about 1408.6983174873.

The spelling of 2795464540 in words is "two billion, seven hundred ninety-five million, four hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 191 220 284 355 382 710 764 781 937 955 1420 1562 1874 1910 2101 3124 3748 3820 3905 4202 4685 7810 8404 9370 10307 10505 13561 15620 18740 20614 21010 27122 41228 42020 51535 54244 66527 67805 103070 133054 135610 149171 178967 206140 266108 271220 298342 332635 357934 596684 665270 715868 731797 745855 894835 1330540 1463594 1491710 1789670 1968637 2927188 2983420 3579340 3658985 3937274 7317970 7874548 9843185 12706657 14635940 19686370 25413314 39372740 50826628 63533285 127066570 139773227 254133140 279546454 559092908 698866135 1397732270 2795464540