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45034912 = 2513293733
BaseRepresentation
bin1010101111001…
…0110110100000
310010202000021201
42223302312200
543012104122
64245130544
71054535056
oct253626640
9103660251
1045034912
112346a43a
12130b9a54
13943a4a0
145da41d6
153e48a27
hex2af2da0

45034912 has 48 divisors (see below), whose sum is σ = 98801640. Its totient is φ = 20063232.

The previous prime is 45034859. The next prime is 45034931. The reversal of 45034912 is 21943054.

45034912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32672656 + 12362256 = 5716^2 + 3516^2 .

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 7 ways as a sum of consecutive naturals, for example, 10198 + ... + 13930.

Almost surely, 245034912 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 45034912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49400820).

45034912 is an abundant number, since it is smaller than the sum of its proper divisors (53766728).

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

45034912 is a wasteful number, since it uses less digits than its factorization.

45034912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45034912 is about 6710.8056148275. The cubic root of 45034912 is about 355.7812905671.

Adding to 45034912 its reverse (21943054), we get a palindrome (66977966).

The spelling of 45034912 in words is "forty-five million, thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 3733 6032 7466 12064 14932 29864 48529 59728 97058 108257 119456 194116 216514 388232 433028 776464 866056 1407341 1552928 1732112 2814682 3464224 5629364 11258728 22517456 45034912