Search a number
-
+
553235800 = 235213389547
BaseRepresentation
bin100000111110011…
…011010101011000
31102120000021211211
4200332123111120
52113112021200
6130521432504
716465266235
oct4076332530
91376007754
10553235800
11264318277
1213533b734
138a804280
145369278c
1533881aba
hex20f9b558

553235800 has 96 divisors (see below), whose sum is σ = 1391317200. Its totient is φ = 203374080.

The previous prime is 553235759. The next prime is 553235819. The reversal of 553235800 is 8532355.

553235800 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1011127 + ... + 1011673.

Almost surely, 2553235800 is an apocalyptic number.

553235800 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 553235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695658600).

553235800 is an abundant number, since it is smaller than the sum of its proper divisors (838081400).

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

553235800 is a wasteful number, since it uses less digits than its factorization.

553235800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 553235800 is about 23520.9651162532. The cubic root of 553235800 is about 820.9248933456.

The spelling of 553235800 in words is "five hundred fifty-three million, two hundred thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 389 520 547 650 778 1094 1300 1556 1945 2188 2600 2735 3112 3890 4376 5057 5470 7111 7780 9725 10114 10940 13675 14222 15560 19450 20228 21880 25285 27350 28444 35555 38900 40456 50570 54700 56888 71110 77800 101140 109400 126425 142220 177775 202280 212783 252850 284440 355550 425566 505700 711100 851132 1011400 1063915 1422200 1702264 2127830 2766179 4255660 5319575 5532358 8511320 10639150 11064716 13830895 21278300 22129432 27661790 42556600 55323580 69154475 110647160 138308950 276617900 553235800