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53343200 = 2552131509
BaseRepresentation
bin1100101101111…
…1001111100000
310201101010010002
43023133033200
5102123440300
65143155132
71215260351
oct313371740
9121333102
1053343200
1128124599
1215a45aa8
13b089031
147127d28
154a3a5d5
hex32df3e0

53343200 has 72 divisors (see below), whose sum is σ = 131475960. Its totient is φ = 21132800.

The previous prime is 53343193. The next prime is 53343211. The reversal of 53343200 is 234335.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104546 + ... + 105054.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055).

Almost surely, 253343200 is an apocalyptic number.

53343200 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 53343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65737980).

53343200 is an abundant number, since it is smaller than the sum of its proper divisors (78132760).

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

53343200 is a wasteful number, since it uses less digits than its factorization.

53343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 53343200 is about 7303.6429266497. The cubic root of 53343200 is about 376.4376223432.

Adding to 53343200 its reverse (234335), we get a palindrome (53577535).

The spelling of 53343200 in words is "fifty-three million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 200 262 400 509 524 655 800 1018 1048 1310 2036 2096 2545 2620 3275 4072 4192 5090 5240 6550 8144 10180 10480 12725 13100 16288 20360 20960 25450 26200 40720 50900 52400 66679 81440 101800 104800 133358 203600 266716 333395 407200 533432 666790 1066864 1333580 1666975 2133728 2667160 3333950 5334320 6667900 10668640 13335800 26671600 53343200