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5765025960 = 233451779329
BaseRepresentation
bin1010101111001111…
…10101000010101000
3112212202220122220000
411113213311002220
543301321312320
62352020303000
7262601624601
oct52747650250
915782818800
105765025960
112499230371
12114a841a60
1370b4b7785
143c9924da8
1523b1c0c90
hex1579f50a8

5765025960 has 80 divisors (see below), whose sum is σ = 19376903700. Its totient is φ = 1537339392.

The previous prime is 5765025947. The next prime is 5765025967. The reversal of 5765025960 is 695205675.

5765025960 is a `hidden beast` number, since 5 + 7 + 6 + 50 + 2 + 596 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5761720836 + 3305124 = 75906^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5765025967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 886425 + ... + 892904.

Almost surely, 25765025960 is an apocalyptic number.

It is an amenable number.

5765025960 is an abundant number, since it is smaller than the sum of its proper divisors (13611877740).

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

5765025960 is a wasteful number, since it uses less digits than its factorization.

5765025960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779352 (or 1779339 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5765025960 is about 75927.7680430552. The cubic root of 5765025960 is about 1793.0831211497.

The spelling of 5765025960 in words is "five billion, seven hundred sixty-five million, twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1779329 3558658 5337987 7117316 8896645 10675974 14234632 16013961 17793290 21351948 26689935 32027922 35586580 42703896 48041883 53379870 64055844 71173160 80069805 96083766 106759740 128111688 144125649 160139610 192167532 213519480 240209415 288251298 320279220 384335064 480418830 576502596 640558440 720628245 960837660 1153005192 1441256490 1921675320 2882512980 5765025960