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5257471296 = 26371132939
BaseRepresentation
bin1001110010101111…
…01010010101000000
3111120101212012210010
410321113222111000
541231403040141
62225405504520
7244166524440
oct47127522500
914511765703
105257471296
112258784000
121028872140
1365a2b8b7c
1437c364120
1520b864416
hex1395ea540

5257471296 has 224 divisors, whose sum is σ = 17492106240. Its totient is φ = 1365112320.

The previous prime is 5257471291. The next prime is 5257471313. The reversal of 5257471296 is 6921747525.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257471291) 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, 1787395 + ... + 1790333.

It is an arithmetic number, because the mean of its divisors is an integer number (78089760).

Almost surely, 25257471296 is an apocalyptic number.

5257471296 is a gapful number since it is divisible by the number (56) 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 5257471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746053120).

5257471296 is an abundant number, since it is smaller than the sum of its proper divisors (12234634944).

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

5257471296 is a wasteful number, since it uses less digits than its factorization.

5257471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2962 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 5257471296 is about 72508.4222418334. The cubic root of 5257471296 is about 1738.8373895594.

The spelling of 5257471296 in words is "five billion, two hundred fifty-seven million, four hundred seventy-one thousand, two hundred ninety-six".