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5552800900 = 225237247863
BaseRepresentation
bin1010010101111100…
…10000010010000100
3112022222120111211121
411022332100102010
542333004112100
62314555443324
7254414012623
oct51276202204
915288514747
105552800900
11239a458559
1210ab756544
136a653cc0a
143a967d6ba
1522774e51a
hex14af90484

5552800900 has 108 divisors (see below), whose sum is σ = 12662189568. Its totient is φ = 2112658560.

The previous prime is 5552800889. The next prime is 5552800909. The reversal of 5552800900 is 90082555.

It is not an unprimeable number, because it can be changed into a prime (5552800909) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6433869 + ... + 6434731.

It is an arithmetic number, because the mean of its divisors is an integer number (117242496).

Almost surely, 25552800900 is an apocalyptic number.

5552800900 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 5552800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331094784).

5552800900 is an abundant number, since it is smaller than the sum of its proper divisors (7109388668).

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

5552800900 is a wasteful number, since it uses less digits than its factorization.

5552800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 5552800900 is about 74517.1181675727. The cubic root of 5552800900 is about 1770.8048410764.

The spelling of 5552800900 in words is "five billion, five hundred fifty-two million, eight hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 47 50 74 94 100 148 185 188 235 370 470 740 863 925 940 1175 1369 1726 1739 1850 2350 2738 3452 3478 3700 4315 4700 5476 6845 6956 8630 8695 13690 17260 17390 21575 27380 31931 34225 34780 40561 43150 43475 63862 64343 68450 81122 86300 86950 127724 128686 136900 159655 162244 173900 202805 257372 319310 321715 405610 638620 643430 798275 811220 1014025 1181447 1286860 1500757 1596550 1608575 2028050 2362894 3001514 3193100 3217150 4056100 4725788 5907235 6003028 6434300 7503785 11814470 15007570 23628940 29536175 30015140 37518925 55528009 59072350 75037850 111056018 118144700 150075700 222112036 277640045 555280090 1110560180 1388200225 2776400450 5552800900