Search a number
-
+
45355275 = 3352729331
BaseRepresentation
bin1010110100000…
…1000100001011
310011100021202000
42231001010023
543102332100
64300042043
71060341060
oct255010413
9104307660
1045355275
11236690a9
1213233323
139520254
146048c67
153ead900
hex2b4110b

45355275 has 96 divisors (see below), whose sum is σ = 98803200. Its totient is φ = 19958400.

The previous prime is 45355273. The next prime is 45355313. The reversal of 45355275 is 57255354.

45355275 is a `hidden beast` number, since 4 + 535 + 52 + 75 = 666.

It is not a de Polignac number, because 45355275 - 21 = 45355273 is a prime.

Its product of digits (105000) is a multiple of the sum of its prime divisors (375).

It is not an unprimeable number, because it can be changed into a prime (45355273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136860 + ... + 137190.

It is an arithmetic number, because the mean of its divisors is an integer number (1029200).

Almost surely, 245355275 is an apocalyptic number.

45355275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45355275 is an abundant number, since it is smaller than the sum of its proper divisors (53447925).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45355275 is a wasteful number, since it uses less digits than its factorization.

45355275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 45355275 is about 6734.6325066777. The cubic root of 45355275 is about 356.6229335651.

The spelling of 45355275 in words is "forty-five million, three hundred fifty-five thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 29 35 45 63 75 87 105 135 145 175 189 203 225 261 315 331 435 525 609 675 725 783 945 993 1015 1305 1575 1655 1827 2175 2317 2979 3045 3915 4725 4965 5075 5481 6525 6951 8275 8937 9135 9599 11585 14895 15225 19575 20853 24825 27405 28797 34755 44685 45675 47995 57925 62559 67193 74475 86391 104265 137025 143985 173775 201579 223425 239975 259173 312795 335965 431955 521325 604737 719925 1007895 1295865 1563975 1679825 1814211 2159775 3023685 5039475 6479325 9071055 15118425 45355275