Search a number
-
+
553152200 = 23529728513
BaseRepresentation
bin100000111110000…
…110111011001000
31102112212001011112
4200332012323020
52113101332300
6130515545452
716464500426
oct4076067310
91375761145
10553152200
11264270487
121352bb288
138a7a51c3
1453670116
1533866e35
hex20f86ec8

553152200 has 48 divisors (see below), whose sum is σ = 1299382980. Its totient is φ = 218972160.

The previous prime is 553152181. The next prime is 553152217. The reversal of 553152200 is 2251355.

It can be written as a sum of positive squares in 6 ways, for example, as 344696356 + 208455844 = 18566^2 + 14438^2 .

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, 5144 + ... + 33656.

Almost surely, 2553152200 is an apocalyptic number.

553152200 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 553152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649691490).

553152200 is an abundant number, since it is smaller than the sum of its proper divisors (746230780).

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

553152200 is a wasteful number, since it uses less digits than its factorization.

553152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28626 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 553152200 is about 23519.1879111503. The cubic root of 553152200 is about 820.8835410095.

The spelling of 553152200 in words is "five hundred fifty-three million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 28513 57026 114052 142565 228104 285130 570260 712825 1140520 1425650 2765761 2851300 5531522 5702600 11063044 13828805 22126088 27657610 55315220 69144025 110630440 138288050 276576100 553152200