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5455322400 = 2535211206641
BaseRepresentation
bin1010001010010100…
…11001110100100000
3112002012011002110210
411011022121310200
542133030304100
62301154254120
7252121322013
oct50512316440
915065132423
105455322400
11234a429510
121082b87340
1368c2a0028
1439a74737a
1521dde6c50
hex145299d20

5455322400 has 144 divisors (see below), whose sum is σ = 19371447648. Its totient is φ = 1322496000.

The previous prime is 5455322311. The next prime is 5455322429. The reversal of 5455322400 is 42235545.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 76921 + ... + 129720.

It is an arithmetic number, because the mean of its divisors is an integer number (134523942).

Almost surely, 25455322400 is an apocalyptic number.

5455322400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5455322400 is an abundant number, since it is smaller than the sum of its proper divisors (13916125248).

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

5455322400 is a wasteful number, since it uses less digits than its factorization.

5455322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206675 (or 206662 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5455322400 is about 73860.1543458988. The cubic root of 5455322400 is about 1760.3815460675.

Adding to 5455322400 its reverse (42235545), we get a palindrome (5497557945).

The spelling of 5455322400 in words is "five billion, four hundred fifty-five million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 206641 413282 619923 826564 1033205 1239846 1653128 2066410 2273051 2479692 3099615 3306256 4132820 4546102 4959384 5166025 6199230 6612512 6819153 8265640 9092204 9918768 10332050 11365255 12398460 13638306 15498075 16531280 18184408 19837536 20664100 22730510 24796920 27276612 30996150 33062560 34095765 36368816 41328200 45461020 49593840 54553224 56826275 61992300 68191530 72737632 82656400 90922040 99187680 109106448 113652550 123984600 136383060 165312800 170478825 181844080 218212896 227305100 247969200 272766120 340957650 363688160 454610200 495938400 545532240 681915300 909220400 1091064480 1363830600 1818440800 2727661200 5455322400