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5842467072 = 2832131071823
BaseRepresentation
bin1010111000011110…
…01111100100000000
3120002011122002010100
411130033033210000
543431132421242
62403424202400
7264532102461
oct53417174400
916064562110
105842467072
112528a13a92
121170769400
13721560210
143d5d22d68
15242dbb54c
hex15c3cf900

5842467072 has 216 divisors, whose sum is σ = 18320649984. Its totient is φ = 1779904512.

The previous prime is 5842467053. The next prime is 5842467079. The reversal of 5842467072 is 2707642485.

It is a happy number.

5842467072 is a `hidden beast` number, since 584 + 2 + 4 + 67 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842467079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203953 + ... + 3205775.

It is an arithmetic number, because the mean of its divisors is an integer number (84817824).

Almost surely, 25842467072 is an apocalyptic number.

5842467072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5842467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160324992).

5842467072 is an abundant number, since it is smaller than the sum of its proper divisors (12478182912).

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

5842467072 is a wasteful number, since it uses less digits than its factorization.

5842467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 5842467072 is about 76436.0325501003. The cubic root of 5842467072 is about 1801.0762156643.

The spelling of 5842467072 in words is "five billion, eight hundred forty-two million, four hundred sixty-seven thousand, seventy-two".