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5348383872 = 27313171931107
BaseRepresentation
bin1001111101100100…
…11101110010000000
3111210201221001101120
410332302131302000
541423141240442
62242414232240
7246352340616
oct47662356200
914721831346
105348383872
1122a5028a67
1210531b5680
1367309a2b0
1438a46b6b6
152148214ec
hex13ec9dc80

5348383872 has 512 divisors, whose sum is σ = 17766604800. Its totient is φ = 1406730240.

The previous prime is 5348383829. The next prime is 5348383883. The reversal of 5348383872 is 2783838435.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3870720) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49984843 + ... + 49984949.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 25348383872 is an apocalyptic number.

5348383872 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 5348383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883302400).

5348383872 is an abundant number, since it is smaller than the sum of its proper divisors (12418220928).

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

5348383872 is a wasteful number, since it uses less digits than its factorization.

5348383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 5348383872 is about 73132.6457336257. The cubic root of 5348383872 is about 1748.8028680065.

The spelling of 5348383872 in words is "five billion, three hundred forty-eight million, three hundred eighty-three thousand, eight hundred seventy-two".