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45538680 = 23351134499
BaseRepresentation
bin1010110110110…
…1110101111000
310011200121022210
42231231311320
543124214210
64304015120
71062033555
oct255556570
9104617283
1045538680
1123783980
12133014a0
139585885
146095a2c
153ee7e20
hex2b6dd78

45538680 has 64 divisors (see below), whose sum is σ = 149040000. Its totient is φ = 11039360.

The previous prime is 45538673. The next prime is 45538693. The reversal of 45538680 is 8683554.

It is a happy number.

It is a super-2 number, since 2×455386802 = 4147542752284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15930 + ... + 18569.

It is an arithmetic number, because the mean of its divisors is an integer number (2328750).

Almost surely, 245538680 is an apocalyptic number.

45538680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45538680 is an abundant number, since it is smaller than the sum of its proper divisors (103501320).

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

45538680 is a wasteful number, since it uses less digits than its factorization.

45538680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34524 (or 34520 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 45538680 is about 6748.2353248831. The cubic root of 45538680 is about 357.1029840438.

The spelling of 45538680 in words is "forty-five million, five hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 34499 68998 103497 137996 172495 206994 275992 344990 379489 413988 517485 689980 758978 827976 1034970 1138467 1379960 1517956 1897445 2069940 2276934 3035912 3794890 4139880 4553868 5692335 7589780 9107736 11384670 15179560 22769340 45538680