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797748672 = 26374773173
BaseRepresentation
bin101111100011001…
…010110111000000
32001121002211110010
4233203022313000
53113210424142
6211054304520
725524515610
oct5743126700
92047084403
10797748672
1137a343426
121a31b8140
13c9375246
1477d40a40
154a07ee9c
hex2f8cadc0

797748672 has 224 divisors, whose sum is σ = 2511747072. Its totient is φ = 218750976.

The previous prime is 797748659. The next prime is 797748673. The reversal of 797748672 is 276847797.

It is a happy number.

797748672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797748673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611178 + ... + 4611350.

Almost surely, 2797748672 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 797748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255873536).

797748672 is an abundant number, since it is smaller than the sum of its proper divisors (1713998400).

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

797748672 is a wasteful number, since it uses less digits than its factorization.

797748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 57.

The square root of 797748672 is about 28244.4449759594. Note that the first 3 decimals coincide. The cubic root of 797748672 is about 927.4461369999.

The spelling of 797748672 in words is "seven hundred ninety-seven million, seven hundred forty-eight thousand, six hundred seventy-two".