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45808056 = 2332797937
BaseRepresentation
bin1010111010111…
…1100110111000
310012012021211200
42232233212320
543211324211
64313454200
71064235120
oct256574670
9105167750
1045808056
11239482a8
1213411360
13964b378
146125c80
15404cb56
hex2baf9b8

45808056 has 96 divisors (see below), whose sum is σ = 143401440. Its totient is φ = 12939264.

The previous prime is 45808051. The next prime is 45808057. The reversal of 45808056 is 65080854.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45808056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45808051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48420 + ... + 49356.

It is an arithmetic number, because the mean of its divisors is an integer number (1493765).

Almost surely, 245808056 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 45808056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71700720).

45808056 is an abundant number, since it is smaller than the sum of its proper divisors (97593384).

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

45808056 is a wasteful number, since it uses less digits than its factorization.

45808056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45808056 is about 6768.1648916084. The cubic root of 45808056 is about 357.8057267051.

The spelling of 45808056 in words is "forty-five million, eight hundred eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 252 291 388 504 582 679 776 873 937 1164 1358 1746 1874 2037 2328 2716 2811 3492 3748 4074 5432 5622 6111 6559 6984 7496 8148 8433 11244 12222 13118 16296 16866 19677 22488 24444 26236 33732 39354 48888 52472 59031 67464 78708 90889 118062 157416 181778 236124 272667 363556 472248 545334 636223 727112 818001 1090668 1272446 1636002 1908669 2181336 2544892 3272004 3817338 5089784 5726007 6544008 7634676 11452014 15269352 22904028 45808056