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1957443049 = 15122932
BaseRepresentation
bin111010010101100…
…0011010111101001
312001102021102001201
41310223003113221
513002101134144
6522122444201
766335664022
oct16453032751
95042242051
101957443049
11914a1aa31
12467663661
132526c6a33
14147d7bc49
15b6ca81d4
hex74ac35e9

1957443049 has 9 divisors (see below), whose sum is σ = 1977240279. Its totient is φ = 1937843400.

The previous prime is 1957443043. The next prime is 1957443071. The reversal of 1957443049 is 9403447591.

The square root of 1957443049 is 44243.

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

It can be written as a sum of positive squares in only one way, i.e., 1852011225 + 105431824 = 43035^2 + 10268^2 .

It is not a de Polignac number, because 1957443049 - 23 = 1957443041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1957443041) 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 8 ways as a sum of consecutive naturals, for example, 6680547 + ... + 6680839.

Almost surely, 21957443049 is an apocalyptic number.

1957443049 is the 44243-rd square number.

1957443049 is the 22122-nd centered octagonal number.

It is an amenable number.

1957443049 is a deficient number, since it is larger than the sum of its proper divisors (19797230).

1957443049 is an frugal number, since it uses more digits than its factorization.

1957443049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The cubic root of 1957443049 is about 1250.9205057556.

The spelling of 1957443049 in words is "one billion, nine hundred fifty-seven million, four hundred forty-three thousand, forty-nine".

Divisors: 1 151 293 22801 44243 85849 6680693 12963199 1957443049