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45915012 = 22341113991
BaseRepresentation
bin1010111100100…
…1101110000100
310012101201120000
42233021232010
543223240022
64320041300
71065162003
oct257115604
9105351500
1045915012
1123a106a0
1213463230
139687c60
146152c3a
15406e6ac
hex2bc9b84

45915012 has 120 divisors (see below), whose sum is σ = 141157632. Its totient is φ = 12830400.

The previous prime is 45914993. The next prime is 45915017. The reversal of 45915012 is 21051954.

45915012 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 not an unprimeable number, because it can be changed into a prime (45915017) 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 39 ways as a sum of consecutive naturals, for example, 45837 + ... + 46827.

Almost surely, 245915012 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 45915012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70578816).

45915012 is an abundant number, since it is smaller than the sum of its proper divisors (95242620).

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

45915012 is a wasteful number, since it uses less digits than its factorization.

45915012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 45915012 is about 6776.0616880309. The cubic root of 45915012 is about 358.0839872444.

Adding to 45915012 its reverse (21051954), we get a palindrome (66966966).

The spelling of 45915012 in words is "forty-five million, nine hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 991 1053 1188 1287 1404 1716 1782 1982 2106 2574 2973 3564 3861 3964 4212 5148 5946 7722 8919 10901 11583 11892 12883 15444 17838 21802 23166 25766 26757 32703 35676 38649 43604 46332 51532 53514 65406 77298 80271 98109 107028 115947 130812 141713 154596 160542 196218 231894 283426 294327 321084 347841 392436 425139 463788 566852 588654 695682 850278 882981 1043523 1177308 1275417 1391364 1700556 1765962 2087046 2550834 3531924 3826251 4174092 5101668 7652502 11478753 15305004 22957506 45915012