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5772706272 = 253310961297
BaseRepresentation
bin1010110000001010…
…01000000111100000
3112220022100212022000
411120011020013200
543310303100042
62352453044000
7263024123304
oct53005100740
915808325260
105772706272
1124a25a6733
121151326600
1370cc76538
143ca963d04
1523bbdb74c
hex1581481e0

5772706272 has 96 divisors (see below), whose sum is σ = 16991805600. Its totient is φ = 1906550784.

The previous prime is 5772706271. The next prime is 5772706297. The reversal of 5772706272 is 2726072775.

5772706272 is a `hidden beast` number, since 577 + 2 + 7 + 0 + 6 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772706271) 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, 63528 + ... + 124824.

It is an arithmetic number, because the mean of its divisors is an integer number (176997975).

Almost surely, 25772706272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5772706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495902800).

5772706272 is an abundant number, since it is smaller than the sum of its proper divisors (11219099328).

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

5772706272 is a wasteful number, since it uses less digits than its factorization.

5772706272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61425 (or 61411 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 5772706272 is about 75978.3276467704. The cubic root of 5772706272 is about 1793.8790312276.

The spelling of 5772706272 in words is "five billion, seven hundred seventy-two million, seven hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5886 7848 10464 11772 15696 23544 31392 47088 61297 94176 122594 183891 245188 367782 490376 551673 735564 980752 1103346 1471128 1655019 1961504 2206692 2942256 3310038 4413384 5884512 6620076 6681373 8826768 13240152 13362746 17653536 20044119 26480304 26725492 40088238 52960608 53450984 60132357 80176476 106901968 120264714 160352952 180397071 213803936 240529428 320705904 360794142 481058856 641411808 721588284 962117712 1443176568 1924235424 2886353136 5772706272