Search a number
-
+
45212328 = 23327109823
BaseRepresentation
bin1010110001111…
…0001010101000
310011002000122200
42230132022220
543033243303
64253020200
71056204240
oct254361250
9104060580
1045212328
1123580767
1213184660
1394a0175
14600cb20
153e813a3
hex2b1e2a8

45212328 has 96 divisors (see below), whose sum is σ = 141398400. Its totient is φ = 12783744.

The previous prime is 45212327. The next prime is 45212359. The reversal of 45212328 is 82321254.

It is not an unprimeable number, because it can be changed into a prime (45212327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54525 + ... + 55347.

It is an arithmetic number, because the mean of its divisors is an integer number (1472900).

Almost surely, 245212328 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 45212328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70699200).

45212328 is an abundant number, since it is smaller than the sum of its proper divisors (96186072).

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

45212328 is a wasteful number, since it uses less digits than its factorization.

45212328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 45212328 is about 6724.0113027865. The cubic root of 45212328 is about 356.2478810585.

The spelling of 45212328 in words is "forty-five million, two hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 436 504 654 763 823 872 981 1308 1526 1646 1962 2289 2469 2616 3052 3292 3924 4578 4938 5761 6104 6584 6867 7407 7848 9156 9876 11522 13734 14814 17283 18312 19752 23044 27468 29628 34566 46088 51849 54936 59256 69132 89707 103698 138264 179414 207396 269121 358828 414792 538242 627949 717656 807363 1076484 1255898 1614726 1883847 2152968 2511796 3229452 3767694 5023592 5651541 6458904 7535388 11303082 15070776 22606164 45212328