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5255450400 = 253523759183
BaseRepresentation
bin1001110010011111…
…11100111100100000
3111120021001112122010
410321033330330200
541230343403100
62225254312520
7244143406554
oct47117747440
914507045563
105255450400
112257623742
121028058740
13659a5c085
1437bd99864
1520b5b5750
hex1393fcf20

5255450400 has 144 divisors (see below), whose sum is σ = 17569125504. Its totient is φ = 1363553280.

The previous prime is 5255450393. The next prime is 5255450419. The reversal of 5255450400 is 40545525.

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

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, 59209 + ... + 118391.

It is an arithmetic number, because the mean of its divisors is an integer number (122007816).

Almost surely, 25255450400 is an apocalyptic number.

5255450400 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 5255450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784562752).

5255450400 is an abundant number, since it is smaller than the sum of its proper divisors (12313675104).

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

5255450400 is a wasteful number, since it uses less digits than its factorization.

5255450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59243 (or 59230 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 5255450400 is about 72494.4853075046. The cubic root of 5255450400 is about 1738.6145663511.

Adding to 5255450400 its reverse (40545525), we get a palindrome (5295995925).

The spelling of 5255450400 in words is "five billion, two hundred fifty-five million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1110 1184 1200 1480 1776 1850 2220 2400 2775 2960 3552 3700 4440 5550 5920 7400 8880 11100 14800 17760 22200 29600 44400 59183 88800 118366 177549 236732 295915 355098 473464 591830 710196 887745 946928 1183660 1420392 1479575 1775490 1893856 2189771 2367320 2840784 2959150 3550980 4379542 4438725 4734640 5681568 5918300 6569313 7101960 8759084 8877450 9469280 10948855 11836600 13138626 14203920 17518168 17754900 21897710 23673200 26277252 28407840 32846565 35036336 35509800 43795420 47346400 52554504 54744275 65693130 70072672 71019600 87590840 105109008 109488550 131386260 142039200 164232825 175181680 210218016 218977100 262772520 328465650 350363360 437954200 525545040 656931300 875908400 1051090080 1313862600 1751816800 2627725200 5255450400