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45532530 = 234567839
BaseRepresentation
bin1010110110110…
…0010101110010
310011200021220000
42231230111302
543124020110
64303530430
71062006621
oct255542562
9104607800
1045532530
112377a29a
12132b9a16
139582b34
1460936b8
153ee61c0
hex2b6c572

45532530 has 80 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 11946528.

The previous prime is 45532507. The next prime is 45532547. The reversal of 45532530 is 3523554.

It is a super-2 number, since 2×455325302 = 4146422576401800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45532494 and 45532503.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53851 + ... + 54689.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 245532530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45532530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

45532530 is an abundant number, since it is smaller than the sum of its proper divisors (78874830).

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

45532530 is a wasteful number, since it uses less digits than its factorization.

45532530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 45532530 is about 6747.7796348132. The cubic root of 45532530 is about 357.0869077308.

The spelling of 45532530 in words is "forty-five million, five hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 270 335 402 405 603 670 810 839 1005 1206 1678 1809 2010 2517 3015 3618 4195 5034 5427 6030 7551 8390 9045 10854 12585 15102 18090 22653 25170 27135 37755 45306 54270 56213 67959 75510 112426 113265 135918 168639 226530 281065 337278 339795 505917 562130 679590 843195 1011834 1517751 1686390 2529585 3035502 4553253 5059170 7588755 9106506 15177510 22766265 45532530