Search a number
-
+
2553110550 = 233522118963
BaseRepresentation
bin1001100000101101…
…0110000000010110
320120221010110021000
42120023112000112
520212044014200
61101202004130
7120161036664
oct23013260026
96527113230
102553110550
1110a0189821
125b3046646
13318c36603
141a3117c34
15ee21c300
hex982d6016

2553110550 has 96 divisors (see below), whose sum is σ = 7069368960. Its totient is φ = 677527200.

The previous prime is 2553110489. The next prime is 2553110551. The reversal of 2553110550 is 550113552.

2553110550 is a `hidden beast` number, since 2 + 553 + 1 + 105 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553110551) 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, 280369 + ... + 289331.

It is an arithmetic number, because the mean of its divisors is an integer number (73639260).

Almost surely, 22553110550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553110550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534684480).

2553110550 is an abundant number, since it is smaller than the sum of its proper divisors (4516258410).

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

2553110550 is a wasteful number, since it uses less digits than its factorization.

2553110550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 2553110550 is about 50528.3143395859. The cubic root of 2553110550 is about 1366.7524888269.

The spelling of 2553110550 in words is "two billion, five hundred fifty-three million, one hundred ten thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 211 225 270 422 450 633 675 1055 1266 1350 1899 2110 3165 3798 5275 5697 6330 8963 9495 10550 11394 15825 17926 18990 26889 28485 31650 44815 47475 53778 56970 80667 89630 94950 134445 142425 161334 224075 242001 268890 284850 403335 448150 484002 672225 806670 1210005 1344450 1891193 2016675 2420010 3782386 4033350 5673579 6050025 9455965 11347158 12100050 17020737 18911930 28367895 34041474 47279825 51062211 56735790 85103685 94559650 102124422 141839475 170207370 255311055 283678950 425518425 510622110 851036850 1276555275 2553110550