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797393376 = 253313243127
BaseRepresentation
bin101111100001110…
…100000111100000
32001120102210002000
4233201310013200
53113113042001
6211042524000
725521506013
oct5741640740
92046383060
10797393376
1137a12049a
121a3066600
13c927c600
1477c8b37a
154a00ea86
hex2f8741e0

797393376 has 288 divisors, whose sum is σ = 2597253120. Its totient is φ = 237758976.

The previous prime is 797393357. The next prime is 797393383. The reversal of 797393376 is 673393797.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6278625 + ... + 6278751.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2797393376 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 797393376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298626560).

797393376 is an abundant number, since it is smaller than the sum of its proper divisors (1799859744).

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

797393376 is a wasteful number, since it uses less digits than its factorization.

797393376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its digits is 4500846, while the sum is 54.

The square root of 797393376 is about 28238.1546139262. The cubic root of 797393376 is about 927.3084299559.

The spelling of 797393376 in words is "seven hundred ninety-seven million, three hundred ninety-three thousand, three hundred seventy-six".