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1339949952 = 27341131379
BaseRepresentation
bin100111111011110…
…0000001110000000
310110101100111210000
41033313200032000
510221011344302
6340543440000
745130246425
oct11767401600
93411314700
101339949952
11628404260
123148b6000
131847b4ac3
14c9d5dd4c
157c98231c
hex4fde0380

1339949952 has 320 divisors, whose sum is σ = 4502361600. Its totient is φ = 391910400.

The previous prime is 1339949927. The next prime is 1339949953. The reversal of 1339949952 is 2599499331.

1339949952 is a `hidden beast` number, since 13 + 3 + 99 + 499 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339949953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3535299 + ... + 3535677.

It is an arithmetic number, because the mean of its divisors is an integer number (14069880).

Almost surely, 21339949952 is an apocalyptic number.

1339949952 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 1339949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251180800).

1339949952 is an abundant number, since it is smaller than the sum of its proper divisors (3162411648).

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

1339949952 is a wasteful number, since it uses less digits than its factorization.

1339949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The square root of 1339949952 is about 36605.3268254772. The cubic root of 1339949952 is about 1102.4600457546.

The spelling of 1339949952 in words is "one billion, three hundred thirty-nine million, nine hundred forty-nine thousand, nine hundred fifty-two".