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645053544 = 23347971249
BaseRepresentation
bin100110011100101…
…011110001101000
31122221210010010000
4212130223301220
52310113203134
6144001423000
721661602402
oct4634536150
91587703100
10645053544
11301130303
1216003aa60
13a38416b5
1461953b72
153b96be99
hex2672bc68

645053544 has 80 divisors (see below), whose sum is σ = 1810462500. Its totient is φ = 214576128.

The previous prime is 645053543. The next prime is 645053551. The reversal of 645053544 is 445350546.

645053544 is a `hidden beast` number, since 64 + 5 + 0 + 53 + 544 = 666.

645053544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 643231044 + 1822500 = 25362^2 + 1350^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 645053499 and 645053508.

It is not an unprimeable number, because it can be changed into a prime (645053543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 515832 + ... + 517080.

Almost surely, 2645053544 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 645053544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905231250).

645053544 is an abundant number, since it is smaller than the sum of its proper divisors (1165408956).

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

645053544 is a wasteful number, since it uses less digits than its factorization.

645053544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 645053544 is about 25397.9043229948. The cubic root of 645053544 is about 864.0361674675.

The spelling of 645053544 in words is "six hundred forty-five million, fifty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 797 1249 1594 2391 2498 3188 3747 4782 4996 6376 7173 7494 9564 9992 11241 14346 14988 19128 21519 22482 28692 29976 33723 43038 44964 57384 64557 67446 86076 89928 101169 129114 134892 172152 202338 258228 269784 404676 516456 809352 995453 1990906 2986359 3981812 5972718 7963624 8959077 11945436 17918154 23890872 26877231 35836308 53754462 71672616 80631693 107508924 161263386 215017848 322526772 645053544