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5802097392 = 243571323231
BaseRepresentation
bin1010110011101010…
…01111101011110000
3112222100200002100000
411121311033223300
543340314104032
62355423030000
7263532004560
oct53165175360
915870602300
105802097392
112508150713
12115b13b300
13716097330
143d0814da0
1523e594e7c
hex159d4faf0

5802097392 has 720 divisors, whose sum is σ = 22364346368. Its totient is φ = 1416476160.

The previous prime is 5802097381. The next prime is 5802097439. The reversal of 5802097392 is 2937902085.

5802097392 is a `hidden beast` number, since 58 + 0 + 209 + 7 + 392 = 666.

It is a super-3 number, since 3×58020973923 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187164417 + ... + 187164447.

Almost surely, 25802097392 is an apocalyptic number.

5802097392 is a gapful number since it is divisible by the number (52) 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 5802097392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182173184).

5802097392 is an abundant number, since it is smaller than the sum of its proper divisors (16562248976).

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

5802097392 is a wasteful number, since it uses less digits than its factorization.

5802097392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5802097392 is about 76171.4998670763. The cubic root of 5802097392 is about 1796.9183270619.

The spelling of 5802097392 in words is "five billion, eight hundred two million, ninety-seven thousand, three hundred ninety-two".