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5425459200 = 21232527292
BaseRepresentation
bin1010000110110000…
…11111000000000000
3112000002221212212100
411003120133000000
542102404143300
62254210230400
7251306433210
oct50330370000
915002855770
105425459200
112334591887
121074b85400
136860453b5
143967b2240
1521b498700
hex14361f000

5425459200 has 702 divisors, whose sum is σ = 23001179864. Its totient is φ = 1197342720.

The previous prime is 5425459187. The next prime is 5425459217. The reversal of 5425459200 is 29545245.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 187084786 + ... + 187084814.

Almost surely, 25425459200 is an apocalyptic number.

5425459200 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 5425459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500589932).

5425459200 is an abundant number, since it is smaller than the sum of its proper divisors (17575720664).

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

5425459200 is a wasteful number, since it uses less digits than its factorization.

5425459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5425459200 is about 73657.7165000382. The cubic root of 5425459200 is about 1757.1634750137.

The spelling of 5425459200 in words is "five billion, four hundred twenty-five million, four hundred fifty-nine thousand, two hundred".