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45336780 = 22335591423
BaseRepresentation
bin1010110011110…
…0100011001100
310011022100101000
42230330203030
543101234110
64255420300
71060233126
oct254744314
9104270330
1045336780
1123656215
1213224690
1395149c8
146042216
153ea81c0
hex2b3c8cc

45336780 has 96 divisors (see below), whose sum is σ = 143539200. Its totient is φ = 11876544.

The previous prime is 45336763. The next prime is 45336791. The reversal of 45336780 is 8763354.

It is a happy number.

45336780 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 31149 + ... + 32571.

It is an arithmetic number, because the mean of its divisors is an integer number (1495200).

Almost surely, 245336780 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 45336780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71769600).

45336780 is an abundant number, since it is smaller than the sum of its proper divisors (98202420).

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

45336780 is a wasteful number, since it uses less digits than its factorization.

45336780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45336780 is about 6733.2592405164. The cubic root of 45336780 is about 356.5744523399.

The spelling of 45336780 in words is "forty-five million, three hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1423 1593 1770 2124 2655 2846 3186 3540 4269 5310 5692 6372 7115 7965 8538 10620 12807 14230 15930 17076 21345 25614 28460 31860 38421 42690 51228 64035 76842 83957 85380 128070 153684 167914 192105 251871 256140 335828 384210 419785 503742 755613 768420 839570 1007484 1259355 1511226 1679140 2266839 2518710 3022452 3778065 4533678 5037420 7556130 9067356 11334195 15112260 22668390 45336780