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45248364 = 223272113227
BaseRepresentation
bin1010110010011…
…0111101101100
310011010212002100
42230212331230
543040421424
64253455100
71056414300
oct254467554
9104125070
1045248364
11235a5847
12131a1490
1394b36a5
14601bd00
153e8bdc9
hex2b26f6c

45248364 has 108 divisors (see below), whose sum is σ = 134820504. Its totient is φ = 12757248.

The previous prime is 45248353. The next prime is 45248377. The reversal of 45248364 is 46384254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199219 + ... + 199445.

It is an arithmetic number, because the mean of its divisors is an integer number (1248338).

Almost surely, 245248364 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 45248364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67410252).

45248364 is an abundant number, since it is smaller than the sum of its proper divisors (89572140).

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

45248364 is a wasteful number, since it uses less digits than its factorization.

45248364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45248364 is about 6726.6904195154. The cubic root of 45248364 is about 356.3425037716.

The spelling of 45248364 in words is "forty-five million, two hundred forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 113 126 147 196 226 227 252 294 339 441 452 454 588 678 681 791 882 908 1017 1356 1362 1582 1589 1764 2034 2043 2373 2724 3164 3178 4068 4086 4746 4767 5537 6356 7119 8172 9492 9534 11074 11123 14238 14301 16611 19068 22148 22246 25651 28476 28602 33222 33369 44492 49833 51302 57204 66444 66738 76953 99666 100107 102604 133476 153906 179557 199332 200214 230859 307812 359114 400428 461718 538671 718228 923436 1077342 1256899 1616013 2154684 2513798 3232026 3770697 5027596 6464052 7541394 11312091 15082788 22624182 45248364