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5455437400 = 2352761127503
BaseRepresentation
bin1010001010010101…
…10101111001011000
3112002012100221020001
411011022311321120
542133042444100
62301200542344
7252122311210
oct50512657130
915065327201
105455437400
11234a4a7956
1210830219b4
1368c31048a
1439a777240
1521de1ad6a
hex1452b5e58

5455437400 has 192 divisors, whose sum is σ = 14879047680. Its totient is φ = 1821657600.

The previous prime is 5455437373. The next prime is 5455437433. The reversal of 5455437400 is 47345545.

It is a self number, because there is not a number n which added to its sum of digits gives 5455437400.

It is a congruent number.

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, 10845549 + ... + 10846051.

It is an arithmetic number, because the mean of its divisors is an integer number (77495040).

Almost surely, 25455437400 is an apocalyptic number.

5455437400 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 5455437400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439523840).

5455437400 is an abundant number, since it is smaller than the sum of its proper divisors (9423610280).

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

5455437400 is a wasteful number, since it uses less digits than its factorization.

5455437400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

The square root of 5455437400 is about 73860.9328400339. The cubic root of 5455437400 is about 1760.3939157889.

The spelling of 5455437400 in words is "five billion, four hundred fifty-five million, four hundred thirty-seven thousand, four hundred".