Search a number
-
+
5233541440 = 26523799001
BaseRepresentation
bin1001101111111000…
…11000000101000000
3111111201211110012011
410313330120011000
541204241311230
62223152542304
7243456240211
oct46774300500
914451743164
105233541440
11224621a166
121020851994
1365535aaaa
143790d5408
152096d8e2a
hex137f18140

5233541440 has 112 divisors (see below), whose sum is σ = 13170286080. Its totient is φ = 1976832000.

The previous prime is 5233541407. The next prime is 5233541447. The reversal of 5233541440 is 441453325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233541447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576940 + ... + 585940.

It is an arithmetic number, because the mean of its divisors is an integer number (117591840).

Almost surely, 25233541440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5233541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585143040).

5233541440 is an abundant number, since it is smaller than the sum of its proper divisors (7936744640).

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

5233541440 is a wasteful number, since it uses less digits than its factorization.

5233541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 5233541440 is about 72343.2197237585. The cubic root of 5233541440 is about 1736.1952182652.

Adding to 5233541440 its reverse (441453325), we get a palindrome (5674994765).

The spelling of 5233541440 in words is "five billion, two hundred thirty-three million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 79 80 92 115 158 160 184 230 316 320 368 395 460 632 736 790 920 1264 1472 1580 1817 1840 2528 3160 3634 3680 5056 6320 7268 7360 9001 9085 12640 14536 18002 18170 25280 29072 36004 36340 45005 58144 72008 72680 90010 116288 144016 145360 180020 207023 288032 290720 360040 414046 576064 581440 711079 720080 828092 1035115 1422158 1440160 1656184 2070230 2844316 2880320 3312368 3555395 4140460 5688632 6624736 7110790 8280920 11377264 13249472 14221580 16354817 16561840 22754528 28443160 32709634 33123680 45509056 56886320 65419268 66247360 81774085 113772640 130838536 163548170 227545280 261677072 327096340 523354144 654192680 1046708288 1308385360 2616770720 5233541440