Search a number
-
+
1249481008 = 242913919373
BaseRepresentation
bin100101001111001…
…1001000100110000
310020002010012201101
41022132121010300
510024331343013
6323552414144
742651261526
oct11236310460
93202105641
101249481008
11591332636
122aa547354
1316bb2a599
14bbd30316
1574a618dd
hex4a799130

1249481008 has 40 divisors (see below), whose sum is σ = 2522494800. Its totient is φ = 598827264.

The previous prime is 1249480993. The next prime is 1249481017. The reversal of 1249481008 is 8001849421.

It is a super-2 number, since 2×12494810082 = 3122405578705392128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54810 + ... + 74182.

It is an arithmetic number, because the mean of its divisors is an integer number (63062370).

Almost surely, 21249481008 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 1249481008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261247400).

1249481008 is an abundant number, since it is smaller than the sum of its proper divisors (1273013792).

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

1249481008 is a wasteful number, since it uses less digits than its factorization.

1249481008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19549 (or 19543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1249481008 is about 35347.9986420731. The cubic root of 1249481008 is about 1077.0682397957.

The spelling of 1249481008 in words is "one billion, two hundred forty-nine million, four hundred eighty-one thousand, eight".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 2224 4031 8062 16124 19373 32248 38746 64496 77492 154984 309968 561817 1123634 2247268 2692847 4494536 5385694 8989072 10771388 21542776 43085552 78092563 156185126 312370252 624740504 1249481008