Search a number
-
+
55509804 = 223271811217
BaseRepresentation
bin1101001111000…
…0001100101100
310212110012010200
43103300030230
5103202303204
65301433500
71242553110
oct323601454
9125405120
1055509804
1129374379
121670b890
13b66724c
14752d740
154d17539
hex34f032c

55509804 has 72 divisors (see below), whose sum is σ = 161380128. Its totient is φ = 15759360.

The previous prime is 55509803. The next prime is 55509821. The reversal of 55509804 is 40890555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55509803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45004 + ... + 46220.

Almost surely, 255509804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55509804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80690064).

55509804 is an abundant number, since it is smaller than the sum of its proper divisors (105870324).

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

55509804 is a wasteful number, since it uses less digits than its factorization.

55509804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55509804 is about 7450.4901852160. The cubic root of 55509804 is about 381.4666405033.

The spelling of 55509804 in words is "fifty-five million, five hundred nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1217 1267 1629 2172 2434 2534 3258 3651 3801 4868 5068 6516 7302 7602 8519 10953 11403 14604 15204 17038 21906 22806 25557 34076 43812 45612 51114 76671 102228 153342 220277 306684 440554 660831 881108 1321662 1541939 1982493 2643324 3083878 3964986 4625817 6167756 7929972 9251634 13877451 18503268 27754902 55509804