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42454542025 = 5274294
BaseRepresentation
bin100111100010011111…
…001110011011001001
311001120201201012011101
4213202133032123021
51143421330321100
631300420101401
73032030440000
oct474237163311
9131521635141
1042454542025
1117006533875
128289b34861
134007756aac
1420aa587c37
15118723386a
hex9e27ce6c9

42454542025 has 75 divisors (see below), whose sum is σ = 63607267571. Its totient is φ = 28107834720.

The previous prime is 42454542023. The next prime is 42454542029. The reversal of 42454542025 is 52024545424.

The square root of 42454542025 is 206045.

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

It can be written as a sum of positive squares in 7 ways, for example, as 25158083769 + 17296458256 = 158613^2 + 131516^2 .

It is not a de Polignac number, because 42454542025 - 21 = 42454542023 is a prime.

It is a super-2 number, since 2×424545420252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42454542023) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1463949711 + ... + 1463949739.

Almost surely, 242454542025 is an apocalyptic number.

42454542025 is the 206045-th square number.

42454542025 is the 103023-rd centered octagonal number.

It is an amenable number.

42454542025 is a deficient number, since it is larger than the sum of its proper divisors (21152725546).

42454542025 is an frugal number, since it uses more digits than its factorization.

42454542025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 37.

The spelling of 42454542025 in words is "forty-two billion, four hundred fifty-four million, five hundred forty-two thousand, twenty-five".

Divisors: 1 5 7 25 29 35 49 145 175 203 245 343 725 841 1015 1225 1421 1715 2401 4205 5075 5887 7105 8575 9947 12005 21025 24389 29435 35525 41209 49735 60025 69629 121945 147175 170723 206045 248675 288463 348145 609725 707281 853615 1030225 1195061 1442315 1740725 2019241 3536405 4268075 4950967 5975305 7211575 8365427 10096205 17682025 24754835 29876525 34656769 41827135 50481025 58557989 123774175 173283845 209135675 242597383 292789945 866419225 1212986915 1463949725 1698181681 6064934575 8490908405 42454542025