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1249475040 = 2532511271101
BaseRepresentation
bin100101001111001…
…0111100111100000
310020002002220112100
41022132113213200
510024331200130
6323552330400
742651235242
oct11236274740
93202086470
101249475040
11591329100
122aa543a00
1316bb27958
14bbd2c092
1574a5ec60
hex4a7979e0

1249475040 has 432 divisors, whose sum is σ = 4799759328. Its totient is φ = 295680000.

The previous prime is 1249475011. The next prime is 1249475047. The reversal of 1249475040 is 405749421.

It is a happy number.

It is a super-2 number, since 2×12494750402 = 3122375751166003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1249474986 and 1249475004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249475047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12370990 + ... + 12371090.

It is an arithmetic number, because the mean of its divisors is an integer number (11110554).

Almost surely, 21249475040 is an apocalyptic number.

1249475040 is a gapful number since it is divisible by the number (10) 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 1249475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399879664).

1249475040 is an abundant number, since it is smaller than the sum of its proper divisors (3550284288).

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

1249475040 is a wasteful number, since it uses less digits than its factorization.

1249475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1249475040 is about 35347.9142241802. The cubic root of 1249475040 is about 1077.0665249628.

The spelling of 1249475040 in words is "one billion, two hundred forty-nine million, four hundred seventy-five thousand, forty".