Search a number
-
+
45097052 = 227211131609
BaseRepresentation
bin1010110000001…
…0000001011100
310010212011112012
42230002001130
543021101202
64250330352
71055214200
oct254020134
9103764465
1045097052
11235020a0
12131299b8
13945c860
145dbcb00
153e5c152
hex2b0205c

45097052 has 72 divisors (see below), whose sum is σ = 107921520. Its totient is φ = 16208640.

The previous prime is 45097049. The next prime is 45097061. The reversal of 45097052 is 25079054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27224 + ... + 28832.

It is an arithmetic number, because the mean of its divisors is an integer number (1498910).

Almost surely, 245097052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45097052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53960760).

45097052 is an abundant number, since it is smaller than the sum of its proper divisors (62824468).

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

45097052 is a wasteful number, since it uses less digits than its factorization.

45097052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 45097052 is about 6715.4338653582. The cubic root of 45097052 is about 355.9448532177.

The spelling of 45097052 in words is "forty-five million, ninety-seven thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 1609 2002 2156 2548 3218 4004 6436 7007 11263 14014 17699 20917 22526 28028 35398 41834 45052 70796 78841 83668 123893 146419 157682 230087 247786 292838 315364 460174 495572 585676 867251 920348 1024933 1610609 1734502 2049866 3221218 3469004 4099732 6442436 11274263 22548526 45097052