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5323145200 = 24525923823
BaseRepresentation
bin1001111010100100…
…01011111111110000
3111201222102210102221
410331102023333300
541400211121300
62240113250424
7245624662522
oct47522137760
914658383387
105323145200
11229185a85a
121046863a14
1366aaa1579
14386d7ba12
152124d831a
hex13d48bff0

5323145200 has 90 divisors (see below), whose sum is σ = 13012693424. Its totient is φ = 2092621440.

The previous prime is 5323145197. The next prime is 5323145227. The reversal of 5323145200 is 25413235.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1390489 + ... + 1394311.

Almost surely, 25323145200 is an apocalyptic number.

5323145200 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 5323145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506346712).

5323145200 is an abundant number, since it is smaller than the sum of its proper divisors (7689548224).

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

5323145200 is a wasteful number, since it uses less digits than its factorization.

5323145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5323145200 is about 72959.8876095626. The cubic root of 5323145200 is about 1746.0477010324.

Adding to 5323145200 its reverse (25413235), we get a palindrome (5348558435).

The spelling of 5323145200 in words is "five billion, three hundred twenty-three million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 3481 3823 4720 5900 6962 7646 11800 13924 15292 17405 19115 23600 27848 30584 34810 38230 55696 61168 69620 76460 87025 95575 139240 152920 174050 191150 225557 278480 305840 348100 382300 451114 696200 764600 902228 1127785 1392400 1529200 1804456 2255570 3608912 4511140 5638925 9022280 11277850 13307863 18044560 22555700 26615726 45111400 53231452 66539315 90222800 106462904 133078630 212925808 266157260 332696575 532314520 665393150 1064629040 1330786300 2661572600 5323145200