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45790360 = 23571114867
BaseRepresentation
bin1010111010101…
…1010010011000
310012011101120021
42232223102120
543210242420
64313240224
71064132410
oct256532230
9105141507
1045790360
1123935a80
1213403074
1396432b5
14611d640
1540477aa
hex2bab498

45790360 has 64 divisors (see below), whose sum is σ = 128459520. Its totient is φ = 14271360.

The previous prime is 45790337. The next prime is 45790363. The reversal of 45790360 is 6309754.

45790360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45790363) by changing a digit.

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, 4354 + ... + 10513.

It is an arithmetic number, because the mean of its divisors is an integer number (2007180).

Almost surely, 245790360 is an apocalyptic number.

45790360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45790360 is an abundant number, since it is smaller than the sum of its proper divisors (82669160).

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

45790360 is a wasteful number, since it uses less digits than its factorization.

45790360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14896 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 45790360 is about 6766.8574685743. The cubic root of 45790360 is about 357.7596464142.

The spelling of 45790360 in words is "forty-five million, seven hundred ninety thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 14867 29734 59468 74335 104069 118936 148670 163537 208138 297340 327074 416276 520345 594680 654148 817685 832552 1040690 1144759 1308296 1635370 2081380 2289518 3270740 4162760 4579036 5723795 6541480 9158072 11447590 22895180 45790360