Search a number
-
+
56733900 = 22352281673
BaseRepresentation
bin1101100001101…
…1000011001100
310221202101021120
43120123003030
5104010441100
65344000540
71256141646
oct330330314
9127671246
1056733900
112a030023
1217000150
13b9a5472
14776b896
154eaa0a0
hex361b0cc

56733900 has 72 divisors (see below), whose sum is σ = 164979024. Its totient is φ = 15052800.

The previous prime is 56733863. The next prime is 56733917. The reversal of 56733900 is 933765.

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, 83964 + ... + 84636.

Almost surely, 256733900 is an apocalyptic number.

56733900 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 56733900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82489512).

56733900 is an abundant number, since it is smaller than the sum of its proper divisors (108245124).

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

56733900 is a wasteful number, since it uses less digits than its factorization.

56733900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 56733900 is about 7532.1909163271. The cubic root of 56733900 is about 384.2502979704.

The spelling of 56733900 in words is "fifty-six million, seven hundred thirty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 281 300 562 673 843 1124 1346 1405 1686 2019 2692 2810 3365 3372 4038 4215 5620 6730 7025 8076 8430 10095 13460 14050 16825 16860 20190 21075 28100 33650 40380 42150 50475 67300 84300 100950 189113 201900 378226 567339 756452 945565 1134678 1891130 2269356 2836695 3782260 4727825 5673390 9455650 11346780 14183475 18911300 28366950 56733900