Search a number
-
+
5347760500 = 225313018221
BaseRepresentation
bin1001111101100000…
…00101100101110100
3111210200202101021201
410332300011211310
541423011314000
62242353022244
7246344133325
oct47660054564
914720671251
105347760500
1122a4742685
121052b54984
13672c0c634
1438a34844c
1521474b96a
hex13ec05974

5347760500 has 48 divisors (see below), whose sum is σ = 11689908048. Its totient is φ = 2137200000.

The previous prime is 5347760471. The next prime is 5347760543. The reversal of 5347760500 is 50677435.

It can be written as a sum of positive squares in 8 ways, for example, as 2259291024 + 3088469476 = 47532^2 + 55574^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5347760500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646390 + ... + 654610.

It is an arithmetic number, because the mean of its divisors is an integer number (243539751).

Almost surely, 25347760500 is an apocalyptic number.

5347760500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5347760500 is an abundant number, since it is smaller than the sum of its proper divisors (6342147548).

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

5347760500 is a wasteful number, since it uses less digits than its factorization.

5347760500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 5347760500 is about 73128.3836823979. The cubic root of 5347760500 is about 1748.7349224286.

The spelling of 5347760500 in words is "five billion, three hundred forty-seven million, seven hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 1301 2602 5204 6505 8221 13010 16442 26020 32525 32884 41105 65050 82210 130100 162625 164420 205525 325250 411050 650500 822100 1027625 2055250 4110500 10695521 21391042 42782084 53477605 106955210 213910420 267388025 534776050 1069552100 1336940125 2673880250 5347760500