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45359080 = 23513194591
BaseRepresentation
bin1010110100000…
…1111111101000
310011100110221221
42231001333220
543102442310
64300111424
71060355134
oct255017750
9104313857
1045359080
1123670a48
1213235574
139521bc0
14604a3c4
153eaeada
hex2b41fe8

45359080 has 64 divisors (see below), whose sum is σ = 115718400. Its totient is φ = 15863040.

The previous prime is 45359033. The next prime is 45359087. The reversal of 45359080 is 8095354.

It is a super-2 number, since 2×453590802 = 4114892276892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45359087) 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, 7585 + ... + 12175.

It is an arithmetic number, because the mean of its divisors is an integer number (1808100).

Almost surely, 245359080 is an apocalyptic number.

45359080 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 45359080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57859200).

45359080 is an abundant number, since it is smaller than the sum of its proper divisors (70359320).

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

45359080 is a wasteful number, since it uses less digits than its factorization.

45359080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 45359080 is about 6734.9149957516. The cubic root of 45359080 is about 356.6329060348.

The spelling of 45359080 in words is "forty-five million, three hundred fifty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4591 4940 9182 9880 18364 22955 36728 45910 59683 87229 91820 119366 174458 183640 238732 298415 348916 436145 477464 596830 697832 872290 1133977 1193660 1744580 2267954 2387320 3489160 4535908 5669885 9071816 11339770 22679540 45359080