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5400525312 = 293771353
BaseRepresentation
bin1010000011110010…
…10111101000000000
3111221101001010000000
411001321113220000
542030013302222
62251520000000
7250554464520
oct50171275000
914841033000
105400525312
112321501666
121068760000
13680b25310
14393361680
152191c09ac
hex141e57a00

5400525312 has 640 divisors, whose sum is σ = 20293701120. Its totient is φ = 1397440512.

The previous prime is 5400525209. The next prime is 5400525323. The reversal of 5400525312 is 2135250045.

It is a happy number.

5400525312 is a `hidden beast` number, since 5 + 400 + 5 + 253 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101896678 + ... + 101896730.

It is an arithmetic number, because the mean of its divisors is an integer number (31708908).

Almost surely, 25400525312 is an apocalyptic number.

5400525312 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 5400525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146850560).

5400525312 is an abundant number, since it is smaller than the sum of its proper divisors (14893175808).

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

5400525312 is an frugal number, since it uses more digits than its factorization.

5400525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5400525312 is about 73488.2664920054. The cubic root of 5400525312 is about 1754.4675307722.

Adding to 5400525312 its reverse (2135250045), we get a palindrome (7535775357).

The spelling of 5400525312 in words is "five billion, four hundred million, five hundred twenty-five thousand, three hundred twelve".