Search a number
-
+
5855004324 = 22361321092
BaseRepresentation
bin1010111001111110…
…00100011010100100
3120010001020001000000
411130333010122210
543442340114244
62404553021300
7265043500311
oct53477043244
916101201000
105855004324
112534aa7454
1211749b4830
1372402c900
143d7867d08
15244046169
hex15cfc46a4

5855004324 has 189 divisors, whose sum is σ = 16788994803. Its totient is φ = 1785011904.

The previous prime is 5855004301. The next prime is 5855004359. The reversal of 5855004324 is 4234005585.

The square root of 5855004324 is 76518.

It is a perfect power (a square), and thus also a powerful number.

5855004324 is a `hidden beast` number, since 585 + 50 + 0 + 4 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204776100 + 5650228224 = 14310^2 + 75168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 62 ways as a sum of consecutive naturals, for example, 53715582 + ... + 53715690.

Almost surely, 25855004324 is an apocalyptic number.

5855004324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5855004324 is the 76518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5855004324

5855004324 is an abundant number, since it is smaller than the sum of its proper divisors (10933990479).

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

5855004324 is a wasteful number, since it uses less digits than its factorization.

5855004324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The cubic root of 5855004324 is about 1802.3635949853.

Multiplying 5855004324 by its sum of digits (36), we get a square (210780155664 = 4591082).

5855004324 divided by its sum of digits (36) gives a square (162639009 = 127532).

It can be divided in two parts, 585500 and 4324, that added together give a square (589824 = 7682).

The spelling of 5855004324 in words is "five billion, eight hundred fifty-five million, four thousand, three hundred twenty-four".