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45052440 = 2335419157
BaseRepresentation
bin1010101111011…
…1001000011000
310010202220022220
42223313020120
543013134230
64245344040
71054640136
oct253671030
9103686286
1045052440
1123481624
1213108020
139445464
145daa756
153e4dd10
hex2af7218

45052440 has 64 divisors (see below), whose sum is σ = 138468960. Its totient is φ = 11719680.

The previous prime is 45052417. The next prime is 45052451. The reversal of 45052440 is 4425054.

45052440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45052440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 9498.

Almost surely, 245052440 is an apocalyptic number.

45052440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69234480).

45052440 is an abundant number, since it is smaller than the sum of its proper divisors (93416520).

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

45052440 is a wasteful number, since it uses less digits than its factorization.

45052440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45052440 is about 6712.1114412679. Note that the first 3 decimals coincide. The cubic root of 45052440 is about 355.8274423584.

Adding to 45052440 its reverse (4425054), we get a palindrome (49477494).

The spelling of 45052440 in words is "forty-five million, fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 9157 18314 27471 36628 45785 54942 73256 91570 109884 137355 183140 219768 274710 366280 375437 549420 750874 1098840 1126311 1501748 1877185 2252622 3003496 3754370 4505244 5631555 7508740 9010488 11263110 15017480 22526220 45052440