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45690144 = 2532320693
BaseRepresentation
bin1010111001001…
…0110100100000
310011222022002120
42232102310200
543144041034
64311144240
71063234263
oct256226440
9104868076
1045690144
1123877755
1213375080
1396097b6
1460d4cda
154027c49
hex2b92d20

45690144 has 48 divisors (see below), whose sum is σ = 125157312. Its totient is φ = 14567168.

The previous prime is 45690143. The next prime is 45690163. The reversal of 45690144 is 44109654.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (45690143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8139 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (2607444).

Almost surely, 245690144 is an apocalyptic number.

It is an amenable number.

45690144 is an abundant number, since it is smaller than the sum of its proper divisors (79467168).

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

45690144 is a wasteful number, since it uses less digits than its factorization.

45690144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20729 (or 20721 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45690144 is about 6759.4484982134. The cubic root of 45690144 is about 357.4984602278.

Adding to 45690144 its reverse (44109654), we get a palindrome (89799798).

The spelling of 45690144 in words is "forty-five million, six hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 20693 41386 62079 82772 124158 165544 248316 331088 475939 496632 662176 951878 993264 1427817 1903756 1986528 2855634 3807512 5711268 7615024 11422536 15230048 22845072 45690144