Search a number
-
+
5842376640 = 26335838147
BaseRepresentation
bin1010111000011101…
…11001011111000000
3120002011110111002000
411130032321133000
543431122023030
62403422224000
7264531245022
oct53416713700
916064414060
105842376640
112528962051
121170725000
1372152acc9
143d5cdc012
15242d9e860
hex15c3b97c0

5842376640 has 224 divisors, whose sum is σ = 20861487360. Its totient is φ = 1539007488.

The previous prime is 5842376581. The next prime is 5842376663. The reversal of 5842376640 is 466732485.

5842376640 is a `hidden beast` number, since 584 + 2 + 3 + 7 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 713047 + ... + 721193.

It is an arithmetic number, because the mean of its divisors is an integer number (93131640).

Almost surely, 25842376640 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 5842376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430743680).

5842376640 is an abundant number, since it is smaller than the sum of its proper divisors (15019110720).

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

5842376640 is a wasteful number, since it uses less digits than its factorization.

5842376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5842376640 is about 76435.4409943450. The cubic root of 5842376640 is about 1801.0669230280.

The spelling of 5842376640 in words is "five billion, eight hundred forty-two million, three hundred seventy-six thousand, six hundred forty".