Search a number
-
+
45323712 = 263471249
BaseRepresentation
bin1010110011100…
…1010111000000
310011021200110000
42230321113000
543100324322
64255240000
71060150050
oct254712700
9104250400
1045323712
1123647415
1213219000
13950ba85
14603b560
153ea43ac
hex2b395c0

45323712 has 140 divisors (see below), whose sum is σ = 153670000. Its totient is φ = 12939264.

The previous prime is 45323701. The next prime is 45323713. The reversal of 45323712 is 21732354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45323713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35664 + ... + 36912.

Almost surely, 245323712 is an apocalyptic number.

45323712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76835000).

45323712 is an abundant number, since it is smaller than the sum of its proper divisors (108346288).

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

45323712 is a wasteful number, since it uses less digits than its factorization.

45323712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 45323712 is about 6732.2887638603. The cubic root of 45323712 is about 356.5401890425.

The spelling of 45323712 in words is "forty-five million, three hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1249 1296 1344 1512 1728 2016 2268 2498 2592 3024 3747 4032 4536 4996 5184 6048 7494 8743 9072 9992 11241 12096 14988 17486 18144 19984 22482 26229 29976 33723 34972 36288 39968 44964 52458 59952 67446 69944 78687 79936 89928 101169 104916 119904 134892 139888 157374 179856 202338 209832 236061 239808 269784 279776 314748 359712 404676 419664 472122 539568 559552 629496 708183 719424 809352 839328 944244 1079136 1258992 1416366 1618704 1678656 1888488 2158272 2517984 2832732 3237408 3776976 5035968 5665464 6474816 7553952 11330928 15107904 22661856 45323712