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45314514 = 2327283619
BaseRepresentation
bin1010110011011…
…1000111010010
310011021012211100
42230313013102
543100031024
64255125230
71060111200
oct254670722
9104235740
1045314514
1123640513
1213213816
13950782b
146038070
153ea17c9
hex2b371d2

45314514 has 72 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 12770352.

The previous prime is 45314513. The next prime is 45314519. The reversal of 45314514 is 41541354.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45314513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72897 + ... + 73515.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 245314514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45314514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

45314514 is an abundant number, since it is smaller than the sum of its proper divisors (70459326).

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

45314514 is a wasteful number, since it uses less digits than its factorization.

45314514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 45314514 is about 6731.6056034203. The cubic root of 45314514 is about 356.5160686400.

Adding to 45314514 its reverse (41541354), we get a palindrome (86855868).

It can be divided in two parts, 4531 and 4514, that added together give a triangular number (9045 = T134).

The spelling of 45314514 in words is "forty-five million, three hundred fourteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 83 98 126 147 166 249 294 441 498 581 619 747 882 1162 1238 1494 1743 1857 3486 3714 4067 4333 5229 5571 8134 8666 10458 11142 12201 12999 24402 25998 30331 36603 38997 51377 60662 73206 77994 90993 102754 154131 181986 272979 308262 359639 462393 545958 719278 924786 1078917 2157834 2517473 3236751 5034946 6473502 7552419 15104838 22657257 45314514