[go: up one dir, main page]

Search a number
-
+
1950193921 = 132432792
BaseRepresentation
bin111010000111101…
…1001100100000001
312000220122010010111
41310033121210001
512443222201141
6521303231321
766220242364
oct16417314401
95026563114
101950193921
11910919615
12465148541
13251059300
141470120db
15b6325381
hex743d9901

1950193921 has 27 divisors (see below), whose sum is σ = 2189714499. Its totient is φ = 1736057232.

The previous prime is 1950193919. The next prime is 1950193933. The reversal of 1950193921 is 1293910591.

The square root of 1950193921 is 44161.

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., 288490225 + 1661703696 = 16985^2 + 40764^2 .

It is not a de Polignac number, because 1950193921 - 21 = 1950193919 is a prime.

It is a super-3 number, since 3×19501939213 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1950193901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24685960 + ... + 24686038.

It is an arithmetic number, because the mean of its divisors is an integer number (81100537).

Almost surely, 21950193921 is an apocalyptic number.

1950193921 is the 44161-st square number.

1950193921 is the 22081-st centered octagonal number.

It is an amenable number.

1950193921 is a deficient number, since it is larger than the sum of its proper divisors (239520578).

1950193921 is an frugal number, since it uses more digits than its factorization.

1950193921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The cubic root of 1950193921 is about 1249.3743900887.

The spelling of 1950193921 in words is "one billion, nine hundred fifty million, one hundred ninety-three thousand, nine hundred twenty-one".

Divisors: 1 13 43 79 169 559 1027 1849 3397 6241 7267 13351 24037 44161 81133 146071 268363 312481 574093 1054729 1898923 3488719 11539609 24685999 45353347 150014917 1950193921