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45000468 = 22333113441
BaseRepresentation
bin1010101110101…
…0011100010100
310010200021001000
42223222130110
543010003333
64244303300
71054332462
oct253523424
9103607030
1045000468
1123446577
12130a1b30
1394278c6
145d95832
153e3d713
hex2aea714

45000468 has 48 divisors (see below), whose sum is σ = 120440320. Its totient is φ = 14515200.

The previous prime is 45000463. The next prime is 45000469. The reversal of 45000468 is 86400054.

45000468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3373 + ... + 10068.

Almost surely, 245000468 is an apocalyptic number.

It is an amenable number.

45000468 is an abundant number, since it is smaller than the sum of its proper divisors (75439852).

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

45000468 is a wasteful number, since it uses less digits than its factorization.

45000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45000468 is about 6708.2388150691. The cubic root of 45000468 is about 355.6905635011.

It can be divided in two parts, 4500046 and 8, that added together give a palindrome (4500054).

The spelling of 45000468 in words is "forty-five million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 13441 26882 40323 53764 80646 120969 161292 241938 362907 416671 483876 725814 833342 1250013 1451628 1666684 2500026 3750039 5000052 7500078 11250117 15000156 22500234 45000468