[go: up one dir, main page]

Search a number
-
+
1037052325 = 522953137197
BaseRepresentation
bin111101110100000…
…010100110100101
32200021101201100101
4331310002212211
54110441133300
6250523344101
734461541111
oct7564024645
92607351311
101037052325
11492430841
1224b382031
13136b1113a
149ba34741
156109eb6a
hex3dd029a5

1037052325 has 48 divisors (see below), whose sum is σ = 1372211280. Its totient is φ = 776222720.

The previous prime is 1037052323. The next prime is 1037052349. The reversal of 1037052325 is 5232507301.

1037052325 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 184470724 + 852581601 = 13582^2 + 29199^2 .

It is not a de Polignac number, because 1037052325 - 21 = 1037052323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1037052293 and 1037052302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037052323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5264127 + ... + 5264323.

It is an arithmetic number, because the mean of its divisors is an integer number (28587735).

Almost surely, 21037052325 is an apocalyptic number.

It is an amenable number.

1037052325 is a deficient number, since it is larger than the sum of its proper divisors (335158955).

1037052325 is a wasteful number, since it uses less digits than its factorization.

1037052325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 1037052325 is about 32203.2968032778. The cubic root of 1037052325 is about 1012.2012978548.

Adding to 1037052325 its reverse (5232507301), we get a palindrome (6269559626).

It can be divided in two parts, 103705 and 2325, that added together give a triangular number (106030 = T460).

The spelling of 1037052325 in words is "one billion, thirty-seven million, fifty-two thousand, three hundred twenty-five".

Divisors: 1 5 25 29 53 137 145 197 265 685 725 985 1325 1537 3425 3973 4925 5713 7261 7685 10441 19865 26989 28565 36305 38425 52205 99325 134945 142825 181525 210569 261025 302789 674725 782681 1052845 1430417 1513945 3913405 5264225 7152085 7569725 19567025 35760425 41482093 207410465 1037052325