Search a number
-
+
5251241460 = 22354112791669
BaseRepresentation
bin1001110001111111…
…11001010111110100
3111112222010201001110
410320333321113310
541223304211320
62225024155020
7244062546603
oct47077712764
914488121043
105251241460
112255209483
121026768a70
13658c1738a
1437b5c1a3a
1520b0335e0
hex138ff95f4

5251241460 has 96 divisors (see below), whose sum is σ = 15082905600. Its totient is φ = 1364290560.

The previous prime is 5251241459. The next prime is 5251241473. The reversal of 5251241460 is 641421525.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3145506 + ... + 3147174.

It is an arithmetic number, because the mean of its divisors is an integer number (157113600).

Almost surely, 25251241460 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 5251241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541452800).

5251241460 is an abundant number, since it is smaller than the sum of its proper divisors (9831664140).

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

5251241460 is a wasteful number, since it uses less digits than its factorization.

5251241460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5251241460 is about 72465.4501124501. The cubic root of 5251241460 is about 1738.1503068221.

Adding to 5251241460 its reverse (641421525), we get a palindrome (5892662985).

The spelling of 5251241460 in words is "five billion, two hundred fifty-one million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1279 1669 2460 2558 3338 3837 5007 5116 6395 6676 7674 8345 10014 12790 15348 16690 19185 20028 25035 25580 33380 38370 50070 52439 68429 76740 100140 104878 136858 157317 205287 209756 262195 273716 314634 342145 410574 524390 629268 684290 786585 821148 1026435 1048780 1368580 1573170 2052870 2134651 3146340 4105740 4269302 6403953 8538604 10673255 12807906 21346510 25615812 32019765 42693020 64039530 87520691 128079060 175041382 262562073 350082764 437603455 525124146 875206910 1050248292 1312810365 1750413820 2625620730 5251241460