Search a number
-
+
553801350 = 235217415297
BaseRepresentation
bin100001000000100…
…101011010000110
31102121002000122010
4201000211122012
52113233120400
6130541515050
716503143124
oct4100453206
91377060563
10553801350
11264674173
12135572a86
138a97180b
145379c914
1533944450
hex21025686

553801350 has 96 divisors (see below), whose sum is σ = 1489967136. Its totient is φ = 135577600.

The previous prime is 553801327. The next prime is 553801357. The reversal of 553801350 is 53108355.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553801357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101902 + ... + 107198.

It is an arithmetic number, because the mean of its divisors is an integer number (15520491).

Almost surely, 2553801350 is an apocalyptic number.

553801350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 553801350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744983568).

553801350 is an abundant number, since it is smaller than the sum of its proper divisors (936165786).

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

553801350 is a wasteful number, since it uses less digits than its factorization.

553801350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 553801350 is about 23532.9842986392. The cubic root of 553801350 is about 821.2045305639.

The spelling of 553801350 in words is "five hundred fifty-three million, eight hundred one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 41 50 51 75 82 85 102 123 150 170 205 246 255 410 425 510 615 697 850 1025 1230 1275 1394 2050 2091 2550 3075 3485 4182 5297 6150 6970 10455 10594 15891 17425 20910 26485 31782 34850 52275 52970 79455 90049 104550 132425 158910 180098 217177 264850 270147 397275 434354 450245 540294 651531 794550 900490 1085885 1303062 1350735 2171770 2251225 2701470 3257655 3692009 4502450 5429425 6515310 6753675 7384018 10858850 11076027 13507350 16288275 18460045 22152054 32576550 36920090 55380135 92300225 110760270 184600450 276900675 553801350