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1407147426 = 2321724119081
BaseRepresentation
bin101001111011111…
…0101110110100010
310122001210111101100
41103313311312202
510340212204201
6351344015230
746604361426
oct12367656642
93561714340
101407147426
11662330763
12333301516
131956b1b19
14d4c52b86
1583807886
hex53df5da2

1407147426 has 48 divisors (see below), whose sum is σ = 3241726488. Its totient is φ = 439603200.

The previous prime is 1407147421. The next prime is 1407147431. The reversal of 1407147426 is 6247417041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1407147421) and next prime (1407147431).

It can be written as a sum of positive squares in 4 ways, for example, as 1288881801 + 118265625 = 35901^2 + 10875^2 .

It is not an unprimeable number, because it can be changed into a prime (1407147421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64206 + ... + 83286.

Almost surely, 21407147426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407147426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620863244).

1407147426 is an abundant number, since it is smaller than the sum of its proper divisors (1834579062).

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

1407147426 is a wasteful number, since it uses less digits than its factorization.

1407147426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19347 (or 19344 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1407147426 is about 37511.9637715756. The cubic root of 1407147426 is about 1120.5894606496.

The spelling of 1407147426 in words is "one billion, four hundred seven million, one hundred forty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 241 306 482 723 1446 2169 4097 4338 8194 12291 19081 24582 36873 38162 57243 73746 114486 171729 324377 343458 648754 973131 1946262 2919393 4598521 5838786 9197042 13795563 27591126 41386689 78174857 82773378 156349714 234524571 469049142 703573713 1407147426