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45269532 = 223272112333
BaseRepresentation
bin1010110010110…
…0001000011100
310011011221010100
42230230020130
543042111112
64254141100
71056533100
oct254541034
9104157110
1045269532
112360a740
12131b1790
1394c0209
146025900
153e932dc
hex2b2c21c

45269532 has 108 divisors (see below), whose sum is σ = 145277496. Its totient is φ = 11753280.

The previous prime is 45269519. The next prime is 45269561. The reversal of 45269532 is 23596254.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 18238 + ... + 20570.

It is an arithmetic number, because the mean of its divisors is an integer number (1345162).

Almost surely, 245269532 is an apocalyptic number.

45269532 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 45269532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72638748).

45269532 is an abundant number, since it is smaller than the sum of its proper divisors (100007964).

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

45269532 is a wasteful number, since it uses less digits than its factorization.

45269532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2356 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 45269532 is about 6728.2636690308. The cubic root of 45269532 is about 356.3980629233.

The spelling of 45269532 in words is "forty-five million, two hundred sixty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2333 2772 3234 4666 4851 6468 6999 9332 9702 13998 16331 19404 20997 25663 27996 32662 41994 48993 51326 65324 76989 83988 97986 102652 114317 146979 153978 179641 195972 228634 230967 293958 307956 342951 359282 457268 461934 538923 587916 685902 718564 923868 1028853 1077846 1257487 1371804 1616769 2057706 2155692 2514974 3233538 3772461 4115412 5029948 6467076 7544922 11317383 15089844 22634766 45269532