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45417020 = 22511593499
BaseRepresentation
bin1010110101000…
…0001000111100
310011110102102212
42231100020330
543111321040
64301235552
71061016065
oct255201074
9104412385
1045417020
1123700530
1213262bb8
13954239c
14606356c
153ec1d65
hex2b5023c

45417020 has 48 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 16230720.

The previous prime is 45417017. The next prime is 45417037. The reversal of 45417020 is 2071454.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11231 + ... + 14729.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 245417020 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 45417020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920000).

45417020 is an abundant number, since it is smaller than the sum of its proper divisors (60422980).

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

45417020 is a wasteful number, since it uses less digits than its factorization.

45417020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 45417020 is about 6739.2150878274. The cubic root of 45417020 is about 356.7846912902.

Adding to 45417020 its reverse (2071454), we get a palindrome (47488474).

The spelling of 45417020 in words is "forty-five million, four hundred seventeen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 3499 6490 6998 12980 13996 17495 34990 38489 69980 76978 153956 192445 206441 384890 412882 769780 825764 1032205 2064410 2270851 4128820 4541702 9083404 11354255 22708510 45417020