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45036432 = 2433753281
BaseRepresentation
bin1010101111001…
…1001110010000
310010202002101000
42223303032100
543012131212
64245142000
71054542360
oct253631620
9103662330
1045036432
11234705a1
12130ba900
13943b09c
145da49a0
153e491dc
hex2af3390

45036432 has 160 divisors (see below), whose sum is σ = 151061760. Its totient is φ = 12579840.

The previous prime is 45036419. The next prime is 45036457. The reversal of 45036432 is 23463054.

45036432 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 junction number, because it is equal to n+sod(n) for n = 45036396 and 45036405.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 160132 + ... + 160412.

It is an arithmetic number, because the mean of its divisors is an integer number (944136).

Almost surely, 245036432 is an apocalyptic number.

45036432 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 45036432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75530880).

45036432 is an abundant number, since it is smaller than the sum of its proper divisors (106025328).

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

45036432 is a wasteful number, since it uses less digits than its factorization.

45036432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45036432 is about 6710.9188640603. The cubic root of 45036432 is about 355.7852932505.

Adding to 45036432 its reverse (23463054), we get a palindrome (68499486).

The spelling of 45036432 in words is "forty-five million, thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 281 318 336 371 378 424 432 477 504 562 636 742 756 843 848 954 1008 1113 1124 1272 1431 1484 1512 1686 1908 1967 2226 2248 2529 2544 2862 2968 3024 3339 3372 3816 3934 4452 4496 5058 5724 5901 5936 6678 6744 7587 7632 7868 8904 10017 10116 11448 11802 13356 13488 14893 15174 15736 17703 17808 20034 20232 22896 23604 26712 29786 30348 31472 35406 40068 40464 44679 47208 53109 53424 59572 60696 70812 80136 89358 94416 104251 106218 119144 121392 134037 141624 160272 178716 208502 212436 238288 268074 283248 312753 357432 402111 417004 424872 536148 625506 714864 804222 834008 849744 938259 1072296 1251012 1608444 1668016 1876518 2144592 2502024 2814777 3216888 3753036 5004048 5629554 6433776 7506072 11259108 15012144 22518216 45036432