Search a number
-
+
5325015200 = 2552232511153
BaseRepresentation
bin1001111010110010…
…10100100010100000
3111202002221210121012
410331121110202200
541401200441300
62240221320052
7245646611441
oct47531244240
914662853535
105325015200
11229291780a
121047406028
1366b2a778b
143873072c8
15212757435
hex13d6548a0

5325015200 has 144 divisors (see below), whose sum is σ = 13630752576. Its totient is φ = 2027520000.

The previous prime is 5325015167. The next prime is 5325015203. The reversal of 5325015200 is 25105235.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (5325015203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4617824 + ... + 4618976.

It is an arithmetic number, because the mean of its divisors is an integer number (94658004).

Almost surely, 25325015200 is an apocalyptic number.

5325015200 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 5325015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815376288).

5325015200 is an abundant number, since it is smaller than the sum of its proper divisors (8305737376).

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

5325015200 is a wasteful number, since it uses less digits than its factorization.

5325015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5325015200 is about 72972.7017452417. The cubic root of 5325015200 is about 1746.2521369948.

The spelling of 5325015200 in words is "five billion, three hundred twenty-five million, fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 251 368 400 460 502 575 736 800 920 1004 1150 1153 1255 1840 2008 2300 2306 2510 3680 4016 4600 4612 5020 5765 5773 6275 8032 9200 9224 10040 11530 11546 12550 18400 18448 20080 23060 23092 25100 26519 28825 28865 36896 40160 46120 46184 50200 53038 57650 57730 92240 92368 100400 106076 115300 115460 132595 144325 184480 184736 200800 212152 230600 230920 265190 288650 289403 424304 461200 461840 530380 577300 578806 662975 848608 922400 923680 1060760 1154600 1157612 1325950 1447015 2121520 2309200 2315224 2651900 2894030 4243040 4618400 4630448 5303800 5788060 6656269 7235075 9260896 10607600 11576120 13312538 14470150 21215200 23152240 26625076 28940300 33281345 46304480 53250152 57880600 66562690 106500304 115761200 133125380 166406725 213000608 231522400 266250760 332813450 532501520 665626900 1065003040 1331253800 2662507600 5325015200