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1952137489 = 1722321132
BaseRepresentation
bin111010001011011…
…0100000100010001
312001001021212012111
41310112310010101
512444221344424
6521413025321
766242615641
oct16426640421
95031255174
101952137489
11911a26875
12465925241
13251589b53
1414739a521
15b65ab194
hex745b4111

1952137489 has 27 divisors (see below), whose sum is σ = 2187159793. Its totient is φ = 1741870592.

The previous prime is 1952137483. The next prime is 1952137511. The reversal of 1952137489 is 9847312591.

It is a happy number.

The square root of 1952137489 is 44183.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 238177489 + 1713960000 = 15433^2 + 41400^2 .

It is not a de Polignac number, because 1952137489 - 217 = 1952006417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1952137483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17275497 + ... + 17275609.

Almost surely, 21952137489 is an apocalyptic number.

1952137489 is the 44183-rd square number.

1952137489 is the 22092-nd centered octagonal number.

It is an amenable number.

1952137489 is a deficient number, since it is larger than the sum of its proper divisors (235022304).

1952137489 is an equidigital number, since it uses as much as digits as its factorization.

1952137489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The cubic root of 1952137489 is about 1249.7892954715.

Multiplying 1952137489 by its sum of digits (49), we get a square (95654736961 = 3092812).

The spelling of 1952137489 in words is "one billion, nine hundred fifty-two million, one hundred thirty-seven thousand, four hundred eighty-nine".

Divisors: 1 17 23 113 289 391 529 1921 2599 6647 8993 12769 32657 44183 59777 152881 217073 293687 751111 1016209 3690241 4992679 6754801 17275553 84875543 114831617 1952137489