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45420000 = 25354757
BaseRepresentation
bin1010110101000…
…0110111100000
310011110120112020
42231100313200
543111420000
64301301440
71061030553
oct255206740
9104416466
1045420000
112370279a
1213264880
139543852
14606469a
153ec2ba0
hex2b50de0

45420000 has 120 divisors (see below), whose sum is σ = 149183496. Its totient is φ = 12096000.

The previous prime is 45419999. The next prime is 45420017. The reversal of 45420000 is 2454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59622 + ... + 60378.

Almost surely, 245420000 is an apocalyptic number.

45420000 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 45420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74591748).

45420000 is an abundant number, since it is smaller than the sum of its proper divisors (103763496).

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

45420000 is an equidigital number, since it uses as much as digits as its factorization.

45420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45420000 is about 6739.4361781977. The cubic root of 45420000 is about 356.7924944965.

Adding to 45420000 its reverse (2454), we get a palindrome (45422454).

The spelling of 45420000 in words is "forty-five million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 757 800 1000 1200 1250 1500 1514 1875 2000 2271 2400 2500 3000 3028 3750 3785 4000 4542 5000 6000 6056 7500 7570 9084 10000 11355 12000 12112 15000 15140 18168 18925 20000 22710 24224 30000 30280 36336 37850 45420 56775 60000 60560 72672 75700 90840 94625 113550 121120 151400 181680 189250 227100 283875 302800 363360 378500 454200 473125 567750 605600 757000 908400 946250 1135500 1419375 1514000 1816800 1892500 2271000 2838750 3028000 3785000 4542000 5677500 7570000 9084000 11355000 15140000 22710000 45420000