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45052660 = 22529173449
BaseRepresentation
bin1010101111011…
…1001011110100
310010202220122001
42223313023310
543013141120
64245345044
71054640602
oct253671364
9103686561
1045052660
1123481804
1213108184
1394455a3
145daa872
153e4de0a
hex2af72f4

45052660 has 48 divisors (see below), whose sum is σ = 98658000. Its totient is φ = 17260544.

The previous prime is 45052633. The next prime is 45052663. The reversal of 45052660 is 6625054.

It can be written as a sum of positive squares in 8 ways, for example, as 2490084 + 42562576 = 1578^2 + 6524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45052663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100116 + ... + 100564.

It is an arithmetic number, because the mean of its divisors is an integer number (2055375).

Almost surely, 245052660 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 45052660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329000).

45052660 is an abundant number, since it is smaller than the sum of its proper divisors (53605340).

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

45052660 is a wasteful number, since it uses less digits than its factorization.

45052660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 45052660 is about 6712.1278295336. The cubic root of 45052660 is about 355.8280215495.

The spelling of 45052660 in words is "forty-five million, fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 449 580 692 865 898 1730 1796 2245 3460 4490 5017 8980 10034 13021 20068 25085 26042 50170 52084 65105 77677 100340 130210 155354 260420 310708 388385 776770 1553540 2252633 4505266 9010532 11263165 22526330 45052660