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48827422960 = 24529313759311
BaseRepresentation
bin101101011110010101…
…110101100011110000
311200000212102002022121
4231132111311203300
51244444310013320
634233033044024
73345663150541
oct553625654360
9150025362277
1048827422960
1119786897618
129568256614
1347b1b5a564
142512adc4c8
15140b9748aa
hexb5e5758f0

48827422960 has 320 divisors, whose sum is σ = 127020441600. Its totient is φ = 17398886400.

The previous prime is 48827422949. The next prime is 48827422961. The reversal of 48827422960 is 6922472884.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 48827422898 and 48827422907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48827422961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157001205 + ... + 157001515.

It is an arithmetic number, because the mean of its divisors is an integer number (396938880).

Almost surely, 248827422960 is an apocalyptic number.

48827422960 is a gapful number since it is divisible by the number (40) 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 48827422960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63510220800).

48827422960 is an abundant number, since it is smaller than the sum of its proper divisors (78193018640).

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

48827422960 is a wasteful number, since it uses less digits than its factorization.

48827422960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 48827422960 in words is "forty-eight billion, eight hundred twenty-seven million, four hundred twenty-two thousand, nine hundred sixty".