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798474240 = 214335192
BaseRepresentation
bin101111100101111…
…100000000000000
32001122110200202000
4233211330000000
53113402133430
6211122024000
725533630144
oct5745740000
92048420660
10798474240
1137a799573
121a34a8000
13c956a585
147808d224
154a174e60
hex2f97c000

798474240 has 360 divisors, whose sum is σ = 2996214480. Its totient is φ = 201719808.

The previous prime is 798474239. The next prime is 798474253. The reversal of 798474240 is 42474897.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×7984742402 = 1275122223887155200, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42024951 + ... + 42024969.

It is an arithmetic number, because the mean of its divisors is an integer number (8322818).

Almost surely, 2798474240 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 798474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498107240).

798474240 is an abundant number, since it is smaller than the sum of its proper divisors (2197740240).

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

798474240 is an equidigital number, since it uses as much as digits as its factorization.

798474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 798474240 is about 28257.2864939293. The cubic root of 798474240 is about 927.7272285903.

The spelling of 798474240 in words is "seven hundred ninety-eight million, four hundred seventy-four thousand, two hundred forty".