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5346250272 = 25321123239307
BaseRepresentation
bin1001111101010100…
…10100111000100000
3111210120220122122100
410332222110320200
541422120002042
62242300410400
7246325243326
oct47652247040
914716818570
105346250272
1122a3900a60
121052546a00
136728010cc
1438a073d16
1521454e24c
hex13ea94e20

5346250272 has 288 divisors, whose sum is σ = 17435658240. Its totient is φ = 1538127360.

The previous prime is 5346250181. The next prime is 5346250277. The reversal of 5346250272 is 2720526435.

5346250272 is a `hidden beast` number, since 5 + 3 + 4 + 625 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5346250277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17414343 + ... + 17414649.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 25346250272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

5346250272 is an abundant number, since it is smaller than the sum of its proper divisors (12089407968).

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

5346250272 is a wasteful number, since it uses less digits than its factorization.

5346250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5346250272 is about 73118.0570857842. The cubic root of 5346250272 is about 1748.5702904553.

The spelling of 5346250272 in words is "five billion, three hundred forty-six million, two hundred fifty thousand, two hundred seventy-two".