Search a number
-
+
45455046 = 2373131699
BaseRepresentation
bin1010110101100…
…1011011000110
310011112100121020
42231121123012
543114030141
64302132010
71061235000
oct255313306
9104470536
1045455046
112372705a
1213281006
1395567a0
146073370
153ecd266
hex2b596c6

45455046 has 64 divisors (see below), whose sum is σ = 114240000. Its totient is φ = 11981088.

The previous prime is 45455029. The next prime is 45455051. The reversal of 45455046 is 64055454.

It is a super-2 number, since 2×454550462 = 4132322413724232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45454998 and 45455016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25905 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (1785000).

Almost surely, 245455046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45455046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120000).

45455046 is an abundant number, since it is smaller than the sum of its proper divisors (68784954).

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

45455046 is a wasteful number, since it uses less digits than its factorization.

45455046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 45455046 is about 6742.0357459747. The cubic root of 45455046 is about 356.8842377453.

It can be divided in two parts, 4545 and 5046, that added together give a triangular number (9591 = T138).

The spelling of 45455046 in words is "forty-five million, four hundred fifty-five thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1699 1911 2058 3398 3822 4459 5097 8918 10194 11893 13377 22087 23786 26754 35679 44174 66261 71358 83251 132522 154609 166502 249753 309218 463827 499506 582757 927654 1082263 1165514 1748271 2164526 3246789 3496542 6493578 7575841 15151682 22727523 45455046