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45422000 = 2453131747
BaseRepresentation
bin1010110101000…
…1010110110000
310011110200021022
42231101112300
543112001000
64301315012
71061036441
oct255212660
9104420238
1045422000
1123704248
1213265a68
139544730
1460652c8
153ec3585
hex2b515b0

45422000 has 80 divisors (see below), whose sum is σ = 118346592. Its totient is φ = 16761600.

The previous prime is 45421991. The next prime is 45422009. The reversal of 45422000 is 22454.

It is an interprime number because it is at equal distance from previous prime (45421991) and next prime (45422009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 45422000.

It is not an unprimeable number, because it can be changed into a prime (45422009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25127 + ... + 26873.

Almost surely, 245422000 is an apocalyptic number.

45422000 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 45422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59173296).

45422000 is an abundant number, since it is smaller than the sum of its proper divisors (72924592).

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

45422000 is a wasteful number, since it uses less digits than its factorization.

45422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 45422000 is about 6739.5845569293. The cubic root of 45422000 is about 356.7977313563.

Adding to 45422000 its reverse (22454), we get a palindrome (45444454).

The spelling of 45422000 in words is "forty-five million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 1747 2000 2600 3250 3494 5200 6500 6988 8735 13000 13976 17470 22711 26000 27952 34940 43675 45422 69880 87350 90844 113555 139760 174700 181688 218375 227110 349400 363376 436750 454220 567775 698800 873500 908440 1135550 1747000 1816880 2271100 2838875 3494000 4542200 5677750 9084400 11355500 22711000 45422000