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5229134400 = 263527198191
BaseRepresentation
bin1001101111010111…
…00100001001000000
3111111102112112212110
410313223210021000
541202124300100
62222514255320
7243403623540
oct46753441100
914442475773
105229134400
11224378a086
12101b287540
13654476b89
143786a9320
15209118250
hex137ae4240

5229134400 has 336 divisors, whose sum is σ = 20641218560. Its totient is φ = 1132185600.

The previous prime is 5229134399. The next prime is 5229134437. The reversal of 5229134400 is 44319225.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634305 + ... + 642495.

Almost surely, 25229134400 is an apocalyptic number.

5229134400 is a gapful number since it is divisible by the number (50) 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 5229134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320609280).

5229134400 is an abundant number, since it is smaller than the sum of its proper divisors (15412084160).

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

5229134400 is a wasteful number, since it uses less digits than its factorization.

5229134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5229134400 is about 72312.7540617836. The cubic root of 5229134400 is about 1735.7077452620.

The spelling of 5229134400 in words is "five billion, two hundred twenty-nine million, one hundred thirty-four thousand, four hundred".