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797945148 = 223371131361
BaseRepresentation
bin101111100011111…
…010110100111100
32001121110210222000
4233203322310330
53113233221043
6211102422300
725526264460
oct5743726474
92047423860
10797945148
1137a468000
121a3291990
13c94137c0
1477d924a0
154a0bd2d3
hex2f8fad3c

797945148 has 384 divisors, whose sum is σ = 2846484480. Its totient is φ = 188179200.

The previous prime is 797945131. The next prime is 797945149. The reversal of 797945148 is 841549797.

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

It is a junction number, because it is equal to n+sod(n) for n = 797945094 and 797945103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797945149) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 13081038 + ... + 13081098.

It is an arithmetic number, because the mean of its divisors is an integer number (7412720).

Almost surely, 2797945148 is an apocalyptic number.

797945148 is a gapful number since it is divisible by the number (78) 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 797945148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423242240).

797945148 is an abundant number, since it is smaller than the sum of its proper divisors (2048539332).

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

797945148 is a wasteful number, since it uses less digits than its factorization.

797945148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 797945148 is about 28247.9228970910. The cubic root of 797945148 is about 927.5222703971.

The spelling of 797945148 in words is "seven hundred ninety-seven million, nine hundred forty-five thousand, one hundred forty-eight".