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45541620 = 223255032
BaseRepresentation
bin1010110110111…
…0100011110100
310011200202100200
42231232203310
543124312440
64304040500
71062045255
oct255564364
9104622320
1045541620
1123786103
1213303130
139587007
146096b2c
153ee8c30
hex2b6e8f4

45541620 has 54 divisors (see below), whose sum is σ = 138418098. Its totient is φ = 12120288.

The previous prime is 45541619. The next prime is 45541627. The reversal of 45541620 is 2614554.

It can be written as a sum of positive squares in only one way, i.e., 36433296 + 9108324 = 6036^2 + 3018^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45541627) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90289 + ... + 90791.

Almost surely, 245541620 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 45541620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209049).

45541620 is an abundant number, since it is smaller than the sum of its proper divisors (92876478).

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

45541620 is a wasteful number, since it uses less digits than its factorization.

45541620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45541620 is about 6748.4531560944. The cubic root of 45541620 is about 357.1106687943.

The spelling of 45541620 in words is "forty-five million, five hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1509 2012 2515 3018 4527 5030 6036 7545 9054 10060 15090 18108 22635 30180 45270 90540 253009 506018 759027 1012036 1265045 1518054 2277081 2530090 3036108 3795135 4554162 5060180 7590270 9108324 11385405 15180540 22770810 45541620