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5790479856 = 243741420331
BaseRepresentation
bin1010110010010001…
…11011010111110000
3112221112210212001220
411121020323113300
543324330323411
62354330025040
7263331160320
oct53110732760
915845725056
105790479856
112501636247
121157278180
1371385a455
143cd06d280
1523d54cb06
hex15923b5f0

5790479856 has 80 divisors (see below), whose sum is σ = 17512712448. Its totient is φ = 1614067200.

The previous prime is 5790479833. The next prime is 5790479857. The reversal of 5790479856 is 6589740975.

It is a self number, because there is not a number n which added to its sum of digits gives 5790479856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790479857) 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 15 ways as a sum of consecutive naturals, for example, 196390 + ... + 223941.

Almost surely, 25790479856 is an apocalyptic number.

5790479856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5790479856 is an abundant number, since it is smaller than the sum of its proper divisors (11722232592).

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

5790479856 is a wasteful number, since it uses less digits than its factorization.

5790479856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420390 (or 420384 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The square root of 5790479856 is about 76095.2025820288. The cubic root of 5790479856 is about 1795.7182028862.

The spelling of 5790479856 in words is "five billion, seven hundred ninety million, four hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 420331 840662 1260993 1681324 2521986 2942317 3362648 5043972 5884634 6725296 8826951 10087944 11769268 17233571 17653902 20175888 23538536 34467142 35307804 47077072 51700713 68934284 70615608 103401426 120634997 137868568 141231216 206802852 241269994 275737136 361904991 413605704 482539988 723809982 827211408 965079976 1447619964 1930159952 2895239928 5790479856