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1925191129 = 172292892
BaseRepresentation
bin111001011000000…
…0001010111011001
311222011120211202011
41302300001113121
512420322104004
6515011305521
765464566061
oct16260012731
94864524664
101925191129
118a87a1654
124588ab2a1
13248b13a64
141439843a1
15b4037004
hex72c015d9

1925191129 has 27 divisors (see below), whose sum is σ = 2142117367. Its totient is φ = 1729806848.

The previous prime is 1925191117. The next prime is 1925191157. The reversal of 1925191129 is 9211915291.

It is a happy number.

The square root of 1925191129 is 43877.

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

It can be written as a sum of positive squares in 13 ways, for example, as 985646025 + 939545104 = 31395^2 + 30652^2 .

It is not a de Polignac number, because 1925191129 - 25 = 1925191097 is a prime.

It is a Duffinian number.

Its product of digits (14580) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 1925191091 and 1925191100.

It is not an unprimeable number, because it can be changed into a prime (1925194129) 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, 21631317 + ... + 21631405.

Almost surely, 21925191129 is an apocalyptic number.

1925191129 is the 43877-th square number.

1925191129 is the 21939-th centered octagonal number.

It is an amenable number.

1925191129 is a deficient number, since it is larger than the sum of its proper divisors (216926238).

1925191129 is an frugal number, since it uses more digits than its factorization.

1925191129 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 digits is 14580, while the sum is 40.

The cubic root of 1925191129 is about 1244.0121363790.

The spelling of 1925191129 in words is "one billion, nine hundred twenty-five million, one hundred ninety-one thousand, one hundred twenty-nine".

Divisors: 1 17 29 89 289 493 841 1513 2581 7921 8381 14297 25721 43877 74849 134657 229709 243049 745909 1272433 2289169 3905053 6661561 21631361 66385901 113246537 1925191129