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45412512 = 2531074421
BaseRepresentation
bin1010110100111…
…1000010100000
310011110012020220
42231033002200
543111200022
64301203040
71060666665
oct255170240
9104405226
1045412512
11236a8102
1213260480
139540312
146061a6c
153ec085c
hex2b4f0a0

45412512 has 48 divisors (see below), whose sum is σ = 120349152. Its totient is φ = 14992640.

The previous prime is 45412453. The next prime is 45412513. The reversal of 45412512 is 21521454.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45412513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8062 + ... + 12482.

It is an arithmetic number, because the mean of its divisors is an integer number (2507274).

Almost surely, 245412512 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 45412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60174576).

45412512 is an abundant number, since it is smaller than the sum of its proper divisors (74936640).

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

45412512 is a wasteful number, since it uses less digits than its factorization.

45412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4533 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 45412512 is about 6738.8806192127. The cubic root of 45412512 is about 356.7728863280.

Adding to 45412512 its reverse (21521454), we get a palindrome (66933966).

The spelling of 45412512 in words is "forty-five million, four hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 4421 5136 8842 10272 13263 17684 26526 35368 53052 70736 106104 141472 212208 424416 473047 946094 1419141 1892188 2838282 3784376 5676564 7568752 11353128 15137504 22706256 45412512