Search a number
-
+
45264100 = 2252764663
BaseRepresentation
bin1010110010101…
…0110011100100
310011011122200011
42230222303210
543041422400
64254100004
71056511210
oct254526344
9104148604
1045264100
1123606652
12131aa604
1394ba8bb
146023940
153e918ba
hex2b2ace4

45264100 has 36 divisors (see below), whose sum is σ = 112256704. Its totient is φ = 15518880.

The previous prime is 45264091. The next prime is 45264101. The reversal of 45264100 is 146254.

45264100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45264101) 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 11 ways as a sum of consecutive naturals, for example, 31632 + ... + 33031.

Almost surely, 245264100 is an apocalyptic number.

It is an amenable number.

45264100 is an abundant number, since it is smaller than the sum of its proper divisors (66992604).

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

45264100 is a wasteful number, since it uses less digits than its factorization.

45264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64684 (or 64677 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45264100 is about 6727.8599866525. The cubic root of 45264100 is about 356.3838073329.

The spelling of 45264100 in words is "forty-five million, two hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 64663 129326 258652 323315 452641 646630 905282 1293260 1616575 1810564 2263205 3233150 4526410 6466300 9052820 11316025 22632050 45264100