Search a number
-
+
5157057520 = 245193392801
BaseRepresentation
bin1001100110110001…
…00111001111110000
3111022101220122222101
410303120213033300
541030201320040
62211421350144
7241540160056
oct46330471760
914271818871
105157057520
11220702a70a
12bbb108354
1364255bc34
1436cca61d6
15202b2c09a
hex1336273f0

5157057520 has 40 divisors (see below), whose sum is σ = 12621223440. Its totient is φ = 1954252800.

The previous prime is 5157057517. The next prime is 5157057589. The reversal of 5157057520 is 257507515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×51570575204 (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5157057520.

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 7 ways as a sum of consecutive naturals, for example, 1694881 + ... + 1697920.

It is an arithmetic number, because the mean of its divisors is an integer number (315530586).

Almost surely, 25157057520 is an apocalyptic number.

It is an amenable number.

5157057520 is an abundant number, since it is smaller than the sum of its proper divisors (7464165920).

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

5157057520 is a wasteful number, since it uses less digits than its factorization.

5157057520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392833 (or 3392827 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 37.

The square root of 5157057520 is about 71812.6557091436. The cubic root of 5157057520 is about 1727.6959895421.

The spelling of 5157057520 in words is "five billion, one hundred fifty-seven million, fifty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3392801 6785602 13571204 16964005 27142408 33928010 54284816 64463219 67856020 128926438 135712040 257852876 271424080 322316095 515705752 644632190 1031411504 1289264380 2578528760 5157057520