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45110496 = 2534173157
BaseRepresentation
bin1010110000010…
…1010011100000
310010212211222010
42230011103200
543022013441
64250512520
71055301324
oct254052340
9103784863
1045110496
1123511202
1213135740
139465a02
145dc3984
153e61116
hex2b054e0

45110496 has 96 divisors (see below), whose sum is σ = 123748128. Its totient is φ = 14376960.

The previous prime is 45110491. The next prime is 45110509. The reversal of 45110496 is 69401154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45110491) 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, 287250 + ... + 287406.

It is an arithmetic number, because the mean of its divisors is an integer number (1289043).

Almost surely, 245110496 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 45110496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61874064).

45110496 is an abundant number, since it is smaller than the sum of its proper divisors (78637632).

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

45110496 is a wasteful number, since it uses less digits than its factorization.

45110496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 45110496 is about 6716.4347685361. The cubic root of 45110496 is about 355.9802202536.

The spelling of 45110496 in words is "forty-five million, one hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 73 82 96 123 146 157 164 219 246 292 314 328 438 471 492 584 628 656 876 942 984 1168 1256 1312 1752 1884 1968 2336 2512 2993 3504 3768 3936 5024 5986 6437 7008 7536 8979 11461 11972 12874 15072 17958 19311 22922 23944 25748 34383 35916 38622 45844 47888 51496 68766 71832 77244 91688 95776 102992 137532 143664 154488 183376 205984 275064 287328 308976 366752 469901 550128 617952 939802 1100256 1409703 1879604 2819406 3759208 5638812 7518416 11277624 15036832 22555248 45110496