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45236112 = 24319193257
BaseRepresentation
bin1010110010001…
…1111110010000
310011010020021120
42230203332100
543040023422
64253322240
71056333465
oct254437620
9104106246
1045236112
1123597619
1213196380
1394aac3c
14601766c
153e8845c
hex2b23f90

45236112 has 80 divisors (see below), whose sum is σ = 124128960. Its totient is φ = 14155776.

The previous prime is 45236071. The next prime is 45236117. The reversal of 45236112 is 21163254.

45236112 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 (24).

Its product of digits (1440) is a multiple of the sum of its prime factors (480).

It is not an unprimeable number, because it can be changed into a prime (45236117) 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 15 ways as a sum of consecutive naturals, for example, 175888 + ... + 176144.

It is an arithmetic number, because the mean of its divisors is an integer number (1551612).

Almost surely, 245236112 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 45236112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62064480).

45236112 is an abundant number, since it is smaller than the sum of its proper divisors (78892848).

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

45236112 is a wasteful number, since it uses less digits than its factorization.

45236112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 45236112 is about 6725.7796574078. The cubic root of 45236112 is about 356.3103383179.

Adding to 45236112 its reverse (21163254), we get a palindrome (66399366).

The spelling of 45236112 in words is "forty-five million, two hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 257 304 386 456 514 579 771 772 912 1028 1158 1542 1544 2056 2316 3084 3088 3667 4112 4632 4883 6168 7334 9264 9766 11001 12336 14649 14668 19532 22002 29298 29336 39064 44004 49601 58596 58672 78128 88008 99202 117192 148803 176016 198404 234384 297606 396808 595212 793616 942419 1190424 1884838 2380848 2827257 3769676 5654514 7539352 11309028 15078704 22618056 45236112