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45366240 = 253594513
BaseRepresentation
bin1010110100001…
…1101111100000
310011100211210010
42231003233200
543103204430
64300204520
71060415043
oct255035740
9104324703
1045366240
1123676367
1213239740
13952523a
14604cc5a
153eb1cb0
hex2b43be0

45366240 has 48 divisors (see below), whose sum is σ = 142905168. Its totient is φ = 12097536.

The previous prime is 45366227. The next prime is 45366259. The reversal of 45366240 is 4266354.

45366240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45366198 and 45366207.

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 7 ways as a sum of consecutive naturals, for example, 46777 + ... + 47736.

It is an arithmetic number, because the mean of its divisors is an integer number (2977191).

Almost surely, 245366240 is an apocalyptic number.

45366240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45366240 is an abundant number, since it is smaller than the sum of its proper divisors (97538928).

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

45366240 is a wasteful number, since it uses less digits than its factorization.

45366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94531 (or 94523 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 45366240 is about 6735.4465330815. The cubic root of 45366240 is about 356.6516700636.

The spelling of 45366240 in words is "forty-five million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 94513 189026 283539 378052 472565 567078 756104 945130 1134156 1417695 1512208 1890260 2268312 2835390 3024416 3780520 4536624 5670780 7561040 9073248 11341560 15122080 22683120 45366240