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54420900 = 22352283641
BaseRepresentation
bin1100111110011…
…0010110100100
310210101212102220
43033212112210
5102412432100
65222232340
71230366342
oct317462644
9123355386
1054420900
11287a0256
12162856b0
13b375721
147328992
154b9eaa0
hex33e65a4

54420900 has 72 divisors (see below), whose sum is σ = 158260704. Its totient is φ = 14438400.

The previous prime is 54420889. The next prime is 54420901. The reversal of 54420900 is 902445.

It is not an unprimeable number, because it can be changed into a prime (54420901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84580 + ... + 85220.

Almost surely, 254420900 is an apocalyptic number.

54420900 is a gapful number since it is divisible by the number (50) 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 54420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79130352).

54420900 is an abundant number, since it is smaller than the sum of its proper divisors (103839804).

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

54420900 is a wasteful number, since it uses less digits than its factorization.

54420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54420900 is about 7377.0522568300. The cubic root of 54420900 is about 378.9558129413.

The spelling of 54420900 in words is "fifty-four million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 641 849 1132 1282 1415 1698 1923 2564 2830 3205 3396 3846 4245 5660 6410 7075 7692 8490 9615 12820 14150 16025 16980 19230 21225 28300 32050 38460 42450 48075 64100 84900 96150 181403 192300 362806 544209 725612 907015 1088418 1814030 2176836 2721045 3628060 4535075 5442090 9070150 10884180 13605225 18140300 27210450 54420900