Search a number
-
+
45025800 = 23352101743
BaseRepresentation
bin1010101111000…
…0101000001000
310010201112210020
42223300220020
543011311200
64245020440
71054466361
oct253605010
9103645706
1045025800
1123463606
12130b4720
1394362b1
145da0b68
153e45ea0
hex2af0a08

45025800 has 96 divisors (see below), whose sum is σ = 141151680. Its totient is φ = 11872000.

The previous prime is 45025793. The next prime is 45025811. The reversal of 45025800 is 852054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60229 + ... + 60971.

It is an arithmetic number, because the mean of its divisors is an integer number (1470330).

Almost surely, 245025800 is an apocalyptic number.

45025800 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 45025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70575840).

45025800 is an abundant number, since it is smaller than the sum of its proper divisors (96125880).

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

45025800 is a wasteful number, since it uses less digits than its factorization.

45025800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 45025800 is about 6710.1266754064. The cubic root of 45025800 is about 355.7572936453.

Adding to 45025800 its reverse (852054), we get a palindrome (45877854).

The spelling of 45025800 in words is "forty-five million, twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 743 808 1010 1212 1486 1515 2020 2229 2424 2525 2972 3030 3715 4040 4458 5050 5944 6060 7430 7575 8916 10100 11145 12120 14860 15150 17832 18575 20200 22290 29720 30300 37150 44580 55725 60600 74300 75043 89160 111450 148600 150086 222900 225129 300172 375215 445800 450258 600344 750430 900516 1125645 1500860 1801032 1876075 2251290 3001720 3752150 4502580 5628225 7504300 9005160 11256450 15008600 22512900 45025800