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794429064 = 233211131931131
BaseRepresentation
bin101111010110100…
…000011010001000
32001100212011210200
4233112200122020
53111333212224
6210455212200
725454351502
oct5726403210
92040764720
10794429064
11378486350
121a2077060
13c8782290
1477718d72
1549b265c9
hex2f5a0688

794429064 has 384 divisors, whose sum is σ = 2767564800. Its totient is φ = 202176000.

The previous prime is 794429003. The next prime is 794429071. The reversal of 794429064 is 460924497.

It is a super-2 number, since 2×7944290642 = 1262235075455832192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6064279 + ... + 6064409.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2794429064 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 794429064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

794429064 is an abundant number, since it is smaller than the sum of its proper divisors (1973135736).

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

794429064 is a wasteful number, since it uses less digits than its factorization.

794429064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 794429064 is about 28185.6180347354. The cubic root of 794429064 is about 926.1579125724.

The spelling of 794429064 in words is "seven hundred ninety-four million, four hundred twenty-nine thousand, sixty-four".