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45107712 = 293313251
BaseRepresentation
bin1010110000010…
…0101000000000
310010212201011000
42230010220000
543021421322
64250452000
71055260236
oct254045000
9103781130
1045107712
112350a101
1213134000
139464670
145dc2956
153e603ac
hex2b04a00

45107712 has 160 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 13824000.

The previous prime is 45107707. The next prime is 45107719. The reversal of 45107712 is 21770154.

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 (45107719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179587 + ... + 179837.

It is an arithmetic number, because the mean of its divisors is an integer number (902286).

Almost surely, 245107712 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 45107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

45107712 is an abundant number, since it is smaller than the sum of its proper divisors (99258048).

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

45107712 is a wasteful number, since it uses less digits than its factorization.

45107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 45107712 is about 6716.2275125252. The cubic root of 45107712 is about 355.9728969814.

Adding to 45107712 its reverse (21770154), we get a palindrome (66877866).

The spelling of 45107712 in words is "forty-five million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 251 256 288 312 351 384 416 432 468 502 512 576 624 702 753 768 832 864 936 1004 1152 1248 1404 1506 1536 1664 1728 1872 2008 2259 2304 2496 2808 3012 3263 3328 3456 3744 4016 4518 4608 4992 5616 6024 6526 6656 6777 6912 7488 8032 9036 9789 9984 11232 12048 13052 13554 13824 14976 16064 18072 19578 19968 22464 24096 26104 27108 29367 29952 32128 36144 39156 44928 48192 52208 54216 58734 59904 64256 72288 78312 88101 89856 96384 104416 108432 117468 128512 144576 156624 176202 179712 192768 208832 216864 234936 289152 313248 352404 385536 417664 433728 469872 578304 626496 704808 835328 867456 939744 1156608 1252992 1409616 1670656 1734912 1879488 2505984 2819232 3469824 3758976 5011968 5638464 7517952 11276928 15035904 22553856 45107712