Search a number
-
+
551110050 = 232524212909
BaseRepresentation
bin100000110110010…
…100010110100010
31102102000021212100
4200312110112202
52112041010200
6130404111230
716441233561
oct4066242642
91372007770
10551110050
112630a6157
12134695516
138a23b82a
145329bbd8
15335b1d00
hex20d945a2

551110050 has 72 divisors (see below), whose sum is σ = 1484676180. Its totient is φ = 146563200.

The previous prime is 551110031. The next prime is 551110073. The reversal of 551110050 is 50011155.

551110050 is a `hidden beast` number, since 5 + 511 + 100 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 122744241 + 428365809 = 11079^2 + 20697^2 .

It is a super-2 number, since 2×5511100502 = 607444574422005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187996 + ... + 190904.

Almost surely, 2551110050 is an apocalyptic number.

551110050 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 551110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742338090).

551110050 is an abundant number, since it is smaller than the sum of its proper divisors (933566130).

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

551110050 is a wasteful number, since it uses less digits than its factorization.

551110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 551110050 is about 23475.7332153865. The cubic root of 551110050 is about 819.8721047806.

The spelling of 551110050 in words is "five hundred fifty-one million, one hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 421 450 842 1263 2105 2526 2909 3789 4210 5818 6315 7578 8727 10525 12630 14545 17454 18945 21050 26181 29090 31575 37890 43635 52362 63150 72725 87270 94725 130905 145450 189450 218175 261810 436350 654525 1224689 1309050 2449378 3674067 6123445 7348134 11022201 12246890 18370335 22044402 30617225 36740670 55111005 61234450 91851675 110222010 183703350 275555025 551110050