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5039689460 = 22513611971613
BaseRepresentation
bin1001011000110001…
…11000111011110100
3111000020001202021012
410230120320323310
540310130030320
62152030011352
7235613440121
oct45430707364
914006052235
105039689460
112156856313
12b87946b58
13624146c90
1435b473748
151e76964c5
hex12c638ef4

5039689460 has 96 divisors (see below), whose sum is σ = 11650316832. Its totient is φ = 1819883520.

The previous prime is 5039689453. The next prime is 5039689471. The reversal of 5039689460 is 649869305.

It can be written as a sum of positive squares in 16 ways, for example, as 1497535204 + 3542154256 = 38698^2 + 59516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5039689399 and 5039689408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3123614 + ... + 3125226.

It is an arithmetic number, because the mean of its divisors is an integer number (121357467).

Almost surely, 25039689460 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 5039689460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825158416).

5039689460 is an abundant number, since it is smaller than the sum of its proper divisors (6610627372).

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

5039689460 is a wasteful number, since it uses less digits than its factorization.

5039689460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The square root of 5039689460 is about 70990.7702451523. The cubic root of 5039689460 is about 1714.4885622332.

The spelling of 5039689460 in words is "five billion, thirty-nine million, six hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 197 244 260 305 394 610 788 793 985 1220 1586 1613 1970 2561 3172 3226 3940 3965 5122 6452 7930 8065 10244 12017 12805 15860 16130 20969 24034 25610 32260 41938 48068 51220 60085 83876 98393 104845 120170 156221 196786 209690 240340 312442 317761 393572 419380 491965 624884 635522 781105 983930 1271044 1279109 1562210 1588805 1967860 2558218 3124420 3177610 4130893 5116436 6355220 6395545 8261786 12791090 16523572 19383421 20654465 25582180 38766842 41308930 77533684 82617860 96917105 193834210 251984473 387668420 503968946 1007937892 1259922365 2519844730 5039689460