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45540000 = 2532541123
BaseRepresentation
bin1010110110111…
…0001010100000
310011200200010200
42231232022200
543124240000
64304025200
71062040452
oct255561240
9104620120
1045540000
1123784970
1213302200
13958635c
1460962d2
153ee8500
hex2b6e2a0

45540000 has 360 divisors, whose sum is σ = 184216032. Its totient is φ = 10560000.

The previous prime is 45539993. The next prime is 45540013. The reversal of 45540000 is 4554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×455400003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1979989 + ... + 1980011.

Almost surely, 245540000 is an apocalyptic number.

45540000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92108016).

45540000 is an abundant number, since it is smaller than the sum of its proper divisors (138676032).

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

45540000 is a wasteful number, since it uses less digits than its factorization.

45540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45540000 is about 6748.3331275212. Note that the first 3 decimals coincide. The cubic root of 45540000 is about 357.1064343808.

Adding to 45540000 its reverse (4554), we get a palindrome (45544554).

Multiplying 45540000 by its reverse (4554), we get a square (207389160000 = 4554002).

45540000 divided by its reverse (4554) gives a 4-th power (10000 = 104).

It can be divided in two parts, 45 and 540000, that multiplied together give a 5-th power (24300000 = 305).

The spelling of 45540000 in words is "forty-five million, five hundred forty thousand".