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1249490788 = 2272131074583
BaseRepresentation
bin100101001111001…
…1011011101100100
310020002010201010121
41022132123131210
510024332201123
6323552531324
742651332200
oct11236333544
93202121117
101249490788
11591339a17
122aa550b44
1316bb31b80
14bbd33b00
1574a6475d
hex4a79b764

1249490788 has 72 divisors (see below), whose sum is σ = 2765472192. Its totient is φ = 489577536.

The previous prime is 1249490783. The next prime is 1249490791. The reversal of 1249490788 is 8870949421.

It is a happy number.

It is a super-2 number, since 2×12494907882 = 3122454458593721888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1249490783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270345 + ... + 274927.

It is an arithmetic number, because the mean of its divisors is an integer number (38409336).

Almost surely, 21249490788 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 1249490788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382736096).

1249490788 is an abundant number, since it is smaller than the sum of its proper divisors (1515981404).

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

1249490788 is a wasteful number, since it uses less digits than its factorization.

1249490788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 1249490788 is about 35348.1369806104. The cubic root of 1249490788 is about 1077.0710499491.

The spelling of 1249490788 in words is "one billion, two hundred forty-nine million, four hundred ninety thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 107 182 196 214 364 428 637 749 1274 1391 1498 2548 2782 2996 4583 5243 5564 9166 9737 10486 18332 19474 20972 32081 38948 59579 64162 68159 119158 128324 136318 224567 238316 272636 417053 449134 490381 834106 898268 980762 1668212 1961524 2919371 3432667 5838742 6374953 6865334 11677484 12749906 13730668 24028669 25499812 44624671 48057338 89249342 96114676 178498684 312372697 624745394 1249490788