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5290422984 = 23387211217
BaseRepresentation
bin1001110110101010…
…10111001011001000
3111122200212100000000
410323111113023020
541313322013414
62232544043000
7245046565500
oct47325271310
914580770000
105290422984
112275340100
121037903460
13664085502
143828a0a00
1520e6c2b09
hex13b5572c8

5290422984 has 648 divisors, whose sum is σ = 20143247670. Its totient is φ = 1293304320.

The previous prime is 5290422961. The next prime is 5290423003. The reversal of 5290422984 is 4892240925.

5290422984 is a `hidden beast` number, since 52 + 90 + 422 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3890016900 + 1400406084 = 62370^2 + 37422^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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 161 ways as a sum of consecutive naturals, for example, 311201344 + ... + 311201360.

Almost surely, 25290422984 is an apocalyptic number.

5290422984 is a gapful number since it is divisible by the number (54) 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 5290422984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071623835).

5290422984 is an abundant number, since it is smaller than the sum of its proper divisors (14852824686).

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

5290422984 is a wasteful number, since it uses less digits than its factorization.

5290422984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5290422984 is about 72735.2939363003. The cubic root of 5290422984 is about 1742.4626010566.

The spelling of 5290422984 in words is "five billion, two hundred ninety million, four hundred twenty-two thousand, nine hundred eighty-four".