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45141810 = 23571032087
BaseRepresentation
bin1010110000110…
…0111100110010
310010221102220220
42230030330302
543024014220
64251313510
71055461530
oct254147462
9103842826
1045141810
112353278a
121314b896
13947703c
145dd1150
153e6a540
hex2b0cf32

45141810 has 64 divisors (see below), whose sum is σ = 125079552. Its totient is φ = 10213056.

The previous prime is 45141809. The next prime is 45141827. The reversal of 45141810 is 1814154.

45141810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×451418102 = 4075566020152200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20587 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (1954368).

Almost surely, 245141810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45141810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539776).

45141810 is an abundant number, since it is smaller than the sum of its proper divisors (79937742).

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

45141810 is a wasteful number, since it uses less digits than its factorization.

45141810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 45141810 is about 6718.7655116100. The cubic root of 45141810 is about 356.0625705363.

Adding to 45141810 its reverse (1814154), we get a palindrome (46955964).

The spelling of 45141810 in words is "forty-five million, one hundred forty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2087 2163 3090 3605 4174 4326 6261 7210 10435 10815 12522 14609 20870 21630 29218 31305 43827 62610 73045 87654 146090 214961 219135 429922 438270 644883 1074805 1289766 1504727 2149610 3009454 3224415 4514181 6448830 7523635 9028362 15047270 22570905 45141810