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5455050400 = 2552101181373
BaseRepresentation
bin1010001010010010…
…10111011010100000
3112002011122021100201
411011021113122200
542132443103100
62301144354544
7252116110012
oct50511273240
915064567321
105455050400
11234a263118
121082a75a54
1368c206297
1439a6b61b2
1521dd9136a
hex1452576a0

5455050400 has 144 divisors (see below), whose sum is σ = 13559554008. Its totient is φ = 2142720000.

The previous prime is 5455050397. The next prime is 5455050427. The reversal of 5455050400 is 40505545.

It can be written as a sum of positive squares in 12 ways, for example, as 272778256 + 5182272144 = 16516^2 + 71988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14624614 + ... + 14624986.

Almost surely, 25455050400 is an apocalyptic number.

5455050400 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 5455050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779777004).

5455050400 is an abundant number, since it is smaller than the sum of its proper divisors (8104503608).

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

5455050400 is a wasteful number, since it uses less digits than its factorization.

5455050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 5455050400 is about 73858.3130053754. The cubic root of 5455050400 is about 1760.3522882954.

Adding to 5455050400 its reverse (40505545), we get a palindrome (5495555945).

The spelling of 5455050400 in words is "five billion, four hundred fifty-five million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 181 200 202 362 373 400 404 505 724 746 800 808 905 1010 1448 1492 1616 1810 1865 2020 2525 2896 2984 3232 3620 3730 4040 4525 5050 5792 5968 7240 7460 8080 9050 9325 10100 11936 14480 14920 16160 18100 18281 18650 20200 28960 29840 36200 36562 37300 37673 40400 59680 67513 72400 73124 74600 75346 80800 91405 135026 144800 146248 149200 150692 182810 188365 270052 292496 298400 301384 337565 365620 376730 457025 540104 584992 602768 675130 731240 753460 914050 941825 1080208 1205536 1350260 1462480 1506920 1687825 1828100 1883650 2160416 2700520 2924960 3013840 3375650 3656200 3767300 5401040 6027680 6751300 6818813 7312400 7534600 10802080 13502600 13637626 14624800 15069200 27005200 27275252 30138400 34094065 54010400 54550504 68188130 109101008 136376260 170470325 218202016 272752520 340940650 545505040 681881300 1091010080 1363762600 2727525200 5455050400