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5487206400 = 213325213229
BaseRepresentation
bin1010001110001000…
…00010000000000000
3112011102010222002200
411013010002000000
542214211101100
62304253513200
7252656325204
oct50704020000
915142128080
105487206400
112366426425
1210917a2800
13695a846c0
143a0a86b04
15221ae3e00
hex147102000

5487206400 has 504 divisors, whose sum is σ = 21259563780. Its totient is φ = 1344798720.

The previous prime is 5487206359. The next prime is 5487206407. The reversal of 5487206400 is 46027845.

5487206400 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 2 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2322468864 + 3164737536 = 48192^2 + 56256^2 .

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 (5487206407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23961486 + ... + 23961714.

Almost surely, 25487206400 is an apocalyptic number.

5487206400 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 5487206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629781890).

5487206400 is an abundant number, since it is smaller than the sum of its proper divisors (15772357380).

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

5487206400 is a wasteful number, since it uses less digits than its factorization.

5487206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5487206400 is about 74075.6802196240. The cubic root of 5487206400 is about 1763.8044425106.

It can be divided in two parts, 548720 and 6400, that multiplied together give a cube (3511808000 = 15203).

The spelling of 5487206400 in words is "five billion, four hundred eighty-seven million, two hundred six thousand, four hundred".