Search a number
-
+
537201248 = 25231574649
BaseRepresentation
bin100000000001010…
…000101001100000
31101102211122120112
4200001100221200
52100010414443
6125150030452
716212064253
oct4001205140
91342748515
10537201248
11256266281
1212baa8428
13873aba7c
14514bb09a
1532265b18
hex20050a60

537201248 has 48 divisors (see below), whose sum is σ = 1110866400. Its totient is φ = 255230976.

The previous prime is 537201221. The next prime is 537201251. The reversal of 537201248 is 842102735.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113228 + ... + 117876.

It is an arithmetic number, because the mean of its divisors is an integer number (23143050).

Almost surely, 2537201248 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 537201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555433200).

537201248 is an abundant number, since it is smaller than the sum of its proper divisors (573665152).

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

537201248 is a wasteful number, since it uses less digits than its factorization.

537201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 537201248 is about 23177.6022918679. The cubic root of 537201248 is about 812.9159989806.

The spelling of 537201248 in words is "five hundred thirty-seven million, two hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 157 184 314 368 628 736 1256 2512 3611 4649 5024 7222 9298 14444 18596 28888 37192 57776 74384 106927 115552 148768 213854 427708 729893 855416 1459786 1710832 2919572 3421664 5839144 11678288 16787539 23356576 33575078 67150156 134300312 268600624 537201248