Search a number
-
+
5290597800 = 2332525355457
BaseRepresentation
bin1001110110101100…
…00001110110101000
3111122201012012210200
410323112001312220
541313343112200
62232551512200
7245051224245
oct47326016650
914581165720
105290597800
11227544a484
121037988660
13664116c57
143829085cc
1520e709800
hex13b581da8

5290597800 has 144 divisors (see below), whose sum is σ = 18103154940. Its totient is φ = 1384181760.

The previous prime is 5290597799. The next prime is 5290597813. The reversal of 5290597800 is 87950925.

It is a happy number.

5290597800 is a `hidden beast` number, since 52 + 9 + 0 + 597 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 728676036 + 4561921764 = 26994^2 + 67542^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67672 + ... + 123128.

Almost surely, 25290597800 is an apocalyptic number.

5290597800 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 5290597800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051577470).

5290597800 is an abundant number, since it is smaller than the sum of its proper divisors (12812557140).

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

5290597800 is a wasteful number, since it uses less digits than its factorization.

5290597800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55532 (or 55520 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5290597800 is about 72736.4956538325. The cubic root of 5290597800 is about 1742.4817934090.

The spelling of 5290597800 in words is "five billion, two hundred ninety million, five hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 53 60 72 75 90 100 106 120 150 159 180 200 212 225 265 300 318 360 424 450 477 530 600 636 795 900 954 1060 1272 1325 1590 1800 1908 2120 2385 2650 3180 3816 3975 4770 5300 6360 7950 9540 10600 11925 15900 19080 23850 31800 47700 55457 95400 110914 166371 221828 277285 332742 443656 499113 554570 665484 831855 998226 1109140 1330968 1386425 1663710 1996452 2218280 2495565 2772850 2939221 3327420 3992904 4159275 4991130 5545700 5878442 6654840 8318550 8817663 9982260 11091400 11756884 12477825 14696105 16637100 17635326 19964520 23513768 24955650 26452989 29392210 33274200 35270652 44088315 49911300 52905978 58784420 70541304 73480525 88176630 99822600 105811956 117568840 132264945 146961050 176353260 211623912 220441575 264529890 293922100 352706520 440883150 529059780 587844200 661324725 881766300 1058119560 1322649450 1763532600 2645298900 5290597800