Search a number
-
+
45531156 = 223114147179
BaseRepresentation
bin1010110110110…
…0000000010100
310011200020000010
42231230000110
543123444111
64303520220
71062002616
oct255540024
9104606003
1045531156
1123779260
12132b9070
139582318
146092db6
153ee5aa6
hex2b6c014

45531156 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 13100800.

The previous prime is 45531139. The next prime is 45531179. The reversal of 45531156 is 65113554.

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, 254275 + ... + 254453.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 245531156 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 45531156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

45531156 is an abundant number, since it is smaller than the sum of its proper divisors (76396524).

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

45531156 is a wasteful number, since it uses less digits than its factorization.

45531156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 45531156 is about 6747.6778227773. The cubic root of 45531156 is about 357.0833158493.

The spelling of 45531156 in words is "forty-five million, five hundred thirty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 47 66 82 94 123 132 141 164 179 188 246 282 358 451 492 517 537 564 716 902 1034 1074 1353 1551 1804 1927 1969 2068 2148 2706 3102 3854 3938 5412 5781 5907 6204 7339 7708 7876 8413 11562 11814 14678 16826 21197 22017 23124 23628 25239 29356 33652 42394 44034 50478 63591 80729 84788 88068 92543 100956 127182 161458 185086 242187 254364 277629 322916 344933 370172 484374 555258 689866 968748 1034799 1110516 1379732 2069598 3794263 4139196 7588526 11382789 15177052 22765578 45531156