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45700000 = 2555457
BaseRepresentation
bin1010111001010…
…1001110100000
310011222210121121
42232111032200
543144400000
64311302024
71063305103
oct256251640
9104883547
1045700000
11238840a5
121337a914
139611128
1460d873a
15402ab1a
hex2b953a0

45700000 has 72 divisors (see below), whose sum is σ = 112703724. Its totient is φ = 18240000.

The previous prime is 45699991. The next prime is 45700001. The reversal of 45700000 is 754.

It can be written as a sum of positive squares in 6 ways, for example, as 1024144 + 44675856 = 1012^2 + 6684^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (45700001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99772 + ... + 100228.

Almost surely, 245700000 is an apocalyptic number.

45700000 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 45700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56351862).

45700000 is an abundant number, since it is smaller than the sum of its proper divisors (67003724).

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

45700000 is an frugal number, since it uses more digits than its factorization.

45700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 45700000 is about 6760.1775124622. The cubic root of 45700000 is about 357.5241641775.

Adding to 45700000 its reverse (754), we get a palindrome (45700754).

The spelling of 45700000 in words is "forty-five million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 457 500 625 800 914 1000 1250 1828 2000 2285 2500 3125 3656 4000 4570 5000 6250 7312 9140 10000 11425 12500 14624 18280 20000 22850 25000 36560 45700 50000 57125 73120 91400 100000 114250 182800 228500 285625 365600 457000 571250 914000 1142500 1428125 1828000 2285000 2856250 4570000 5712500 9140000 11425000 22850000 45700000