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45040632 = 23371341503
BaseRepresentation
bin1010101111010…
…0001111111000
310010202022010120
42223310033320
543012300012
64245213240
71054560540
oct253641770
9103668116
1045040632
112347376a
1213101220
13943cc80
145da6320
153e4a58c
hex2af43f8

45040632 has 128 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 11566080.

The previous prime is 45040577. The next prime is 45040637. The reversal of 45040632 is 23604054.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45040637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89293 + ... + 89795.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 245040632 is an apocalyptic number.

45040632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45040632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

45040632 is an abundant number, since it is smaller than the sum of its proper divisors (97208328).

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

45040632 is a wasteful number, since it uses less digits than its factorization.

45040632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45040632 is about 6711.2317796363. The cubic root of 45040632 is about 355.7963528284.

Adding to 45040632 its reverse (23604054), we get a palindrome (68644686).

The spelling of 45040632 in words is "forty-five million, forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 182 246 273 287 312 328 364 492 503 533 546 574 728 861 984 1006 1066 1092 1148 1509 1599 1722 2012 2132 2184 2296 3018 3198 3444 3521 3731 4024 4264 6036 6396 6539 6888 7042 7462 10563 11193 12072 12792 13078 14084 14924 19617 20623 21126 22386 26156 28168 29848 39234 41246 42252 44772 45773 52312 61869 78468 82492 84504 89544 91546 123738 137319 144361 156936 164984 183092 247476 268099 274638 288722 366184 433083 494952 536198 549276 577444 804297 866166 1072396 1098552 1154888 1608594 1732332 1876693 2144792 3217188 3464664 3753386 5630079 6434376 7506772 11260158 15013544 22520316 45040632