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53216900 = 225211101479
BaseRepresentation
bin1100101100000…
…0011010000100
310201010200212022
43023000122010
5102110420100
65140342312
71214223212
oct313003204
9121120768
1053216900
1128048710
12159a4998
13b0436b9
1470d3cb2
154a12e85
hex32c0684

53216900 has 72 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 19120000.

The previous prime is 53216899. The next prime is 53216903. The reversal of 53216900 is 961235.

It is a super-2 number, since 2×532169002 = 5664076891220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53216900.

It is not an unprimeable number, because it can be changed into a prime (53216903) 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, 110861 + ... + 111339.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 253216900 is an apocalyptic number.

53216900 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 53216900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

53216900 is an abundant number, since it is smaller than the sum of its proper divisors (74274940).

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

53216900 is a wasteful number, since it uses less digits than its factorization.

53216900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 53216900 is about 7294.9914324830. The cubic root of 53216900 is about 376.1402920724.

It can be divided in two parts, 5321 and 6900, that added together give a palindrome (12221).

The spelling of 53216900 in words is "fifty-three million, two hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 479 505 550 958 1010 1100 1111 1916 2020 2222 2395 2525 4444 4790 5050 5269 5555 9580 10100 10538 11110 11975 21076 22220 23950 26345 27775 47900 48379 52690 55550 96758 105380 111100 131725 193516 241895 263450 483790 526900 532169 967580 1064338 1209475 2128676 2418950 2660845 4837900 5321690 10643380 13304225 26608450 53216900