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45243024 = 24323107383
BaseRepresentation
bin1010110010010…
…1101010010000
310011010120202120
42230211222100
543040234044
64253414240
71056362601
oct254455220
9104116676
1045243024
11235a1832
121319a380
1394b1128
146019da8
153e8a519
hex2b25a90

45243024 has 80 divisors (see below), whose sum is σ = 123420672. Its totient is φ = 14253184.

The previous prime is 45243013. The next prime is 45243041. The reversal of 45243024 is 42034254.

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

It is a junction number, because it is equal to n+sod(n) for n = 45242985 and 45243003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117937 + ... + 118319.

Almost surely, 245243024 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 45243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61710336).

45243024 is an abundant number, since it is smaller than the sum of its proper divisors (78177648).

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

45243024 is a wasteful number, since it uses less digits than its factorization.

45243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45243024 is about 6726.2934815543. The cubic root of 45243024 is about 356.3284852623.

Adding to 45243024 its reverse (42034254), we get a palindrome (87277278).

The spelling of 45243024 in words is "forty-five million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 214 276 321 368 383 428 552 642 766 856 1104 1149 1284 1532 1712 2298 2461 2568 3064 4596 4922 5136 6128 7383 8809 9192 9844 14766 17618 18384 19688 26427 29532 35236 39376 40981 52854 59064 70472 81962 105708 118128 122943 140944 163924 211416 245886 327848 422832 491772 655696 942563 983544 1885126 1967088 2827689 3770252 5655378 7540504 11310756 15081008 22621512 45243024