Search a number
-
+
1249297272 = 2332193189331
BaseRepresentation
bin100101001110110…
…1100001101111000
310020001202212200100
41022131230031320
510024310003042
6323544435400
742646565046
oct11235541570
93201685610
101249297272
11591217593
122aa478b60
1316ba94a72
14bbcc3396
1574a2724c
hex4a76c378

1249297272 has 192 divisors, whose sum is σ = 3729024000. Its totient is φ = 376358400.

The previous prime is 1249297223. The next prime is 1249297297. The reversal of 1249297272 is 2727929421.

It is a happy number.

1249297272 is a `hidden beast` number, since 1 + 2 + 492 + 97 + 2 + 72 = 666.

1249297272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3774147 + ... + 3774477.

It is an arithmetic number, because the mean of its divisors is an integer number (19422000).

Almost surely, 21249297272 is an apocalyptic number.

1249297272 is a gapful number since it is divisible by the number (12) 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 1249297272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864512000).

1249297272 is an abundant number, since it is smaller than the sum of its proper divisors (2479726728).

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

1249297272 is a wasteful number, since it uses less digits than its factorization.

1249297272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1249297272 is about 35345.3995874994. The cubic root of 1249297272 is about 1077.0154429652.

The spelling of 1249297272 in words is "one billion, two hundred forty-nine million, two hundred ninety-seven thousand, two hundred seventy-two".