Search a number
-
+
55117650 = 2352727499
BaseRepresentation
bin1101001001000…
…0011101010010
310211201021012110
43102100131102
5103102231100
65245210150
71236330600
oct322203522
9124637173
1055117650
1129126785
1216560956
13b55a8c3
14746a870
154c8b250
hex3490752

55117650 has 72 divisors (see below), whose sum is σ = 159030000. Its totient is φ = 12596640.

The previous prime is 55117649. The next prime is 55117687. The reversal of 55117650 is 5671155.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3601 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (2208750).

Almost surely, 255117650 is an apocalyptic number.

55117650 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 55117650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79515000).

55117650 is an abundant number, since it is smaller than the sum of its proper divisors (103912350).

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

55117650 is a wasteful number, since it uses less digits than its factorization.

55117650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 55117650 is about 7424.1262112117. The cubic root of 55117650 is about 380.5662149934.

The spelling of 55117650 in words is "fifty-five million, one hundred seventeen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 7499 14998 22497 37495 44994 52493 74990 104986 112485 157479 187475 224970 262465 314958 367451 374950 524930 562425 734902 787395 1102353 1124850 1312325 1574790 1837255 2204706 2624650 3674510 3936975 5511765 7873950 9186275 11023530 18372550 27558825 55117650