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45531540 = 22325443571
BaseRepresentation
bin1010110110110…
…0000110010100
310011200020112100
42231230012110
543124002130
64303522100
71062004005
oct255540624
9104606470
1045531540
112377957a
12132b9330
139582552
1460931ac
153ee5c60
hex2b6c194

45531540 has 72 divisors (see below), whose sum is σ = 138666528. Its totient is φ = 12093120.

The previous prime is 45531527. The next prime is 45531547. The reversal of 45531540 is 4513554.

It is a super-2 number, since 2×455315402 = 4146242269543200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45531547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79455 + ... + 80025.

It is an arithmetic number, because the mean of its divisors is an integer number (1925924).

Almost surely, 245531540 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 45531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69333264).

45531540 is an abundant number, since it is smaller than the sum of its proper divisors (93134988).

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

45531540 is a wasteful number, since it uses less digits than its factorization.

45531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45531540 is about 6747.7062769507. The cubic root of 45531540 is about 357.0843197012.

The spelling of 45531540 in words is "forty-five million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 571 886 1142 1329 1713 1772 2215 2284 2658 2855 3426 3987 4430 5139 5316 5710 6645 6852 7974 8565 8860 10278 11420 13290 15948 17130 19935 20556 25695 26580 34260 39870 51390 79740 102780 252953 505906 758859 1011812 1264765 1517718 2276577 2529530 3035436 3794295 4553154 5059060 7588590 9106308 11382885 15177180 22765770 45531540