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45066476 = 22721323769
BaseRepresentation
bin1010101111101…
…0100011101100
310010210121120202
42223322203230
543014111401
64245533032
71055026100
oct253724354
9103717522
1045066476
1123491124
1213114178
13944b970
145db1900
153e5306b
hex2afa8ec

45066476 has 72 divisors (see below), whose sum is σ = 103229280. Its totient is φ = 17031168.

The previous prime is 45066457. The next prime is 45066479. The reversal of 45066476 is 67466054.

It is not an unprimeable number, because it can be changed into a prime (45066479) 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, 58220 + ... + 58988.

It is an arithmetic number, because the mean of its divisors is an integer number (1433740).

Almost surely, 245066476 is an apocalyptic number.

45066476 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45066476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51614640).

45066476 is an abundant number, since it is smaller than the sum of its proper divisors (58162804).

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

45066476 is a wasteful number, since it uses less digits than its factorization.

45066476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 45066476 is about 6713.1569324722. The cubic root of 45066476 is about 355.8643909707.

The spelling of 45066476 in words is "forty-five million, sixty-six thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 91 92 98 161 182 196 299 322 364 598 637 644 769 1127 1196 1274 1538 2093 2254 2548 3076 4186 4508 5383 8372 9997 10766 14651 17687 19994 21532 29302 35374 37681 39988 58604 69979 70748 75362 123809 139958 150724 229931 247618 279916 459862 489853 495236 866663 919724 979706 1609517 1733326 1959412 3219034 3466652 6438068 11266619 22533238 45066476