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53059800 = 23352191463
BaseRepresentation
bin1100101001101…
…0000011011000
310200211201100210
43022122003120
5102040403200
65133131120
71213000203
oct312320330
9120751323
1053059800
1127a50682
1215929aa0
13acba041
14709293a
1549d1650
hex329a0d8

53059800 has 96 divisors (see below), whose sum is σ = 165703680. Its totient is φ = 14044800.

The previous prime is 53059789. The next prime is 53059843. The reversal of 53059800 is 895035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114369 + ... + 114831.

It is an arithmetic number, because the mean of its divisors is an integer number (1726080).

Almost surely, 253059800 is an apocalyptic number.

53059800 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 53059800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82851840).

53059800 is an abundant number, since it is smaller than the sum of its proper divisors (112643880).

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

53059800 is a wasteful number, since it uses less digits than its factorization.

53059800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 53059800 is about 7284.2158122889. The cubic root of 53059800 is about 375.7697964656.

The spelling of 53059800 in words is "fifty-three million, fifty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 463 573 600 764 926 955 1146 1389 1528 1852 1910 2292 2315 2778 2865 3704 3820 4584 4630 4775 5556 5730 6945 7640 9260 9550 11112 11460 11575 13890 14325 18520 19100 22920 23150 27780 28650 34725 38200 46300 55560 57300 69450 88433 92600 114600 138900 176866 265299 277800 353732 442165 530598 707464 884330 1061196 1326495 1768660 2122392 2210825 2652990 3537320 4421650 5305980 6632475 8843300 10611960 13264950 17686600 26529900 53059800