Search a number
-
+
55833288 = 23371093049
BaseRepresentation
bin1101010011111…
…1001011001000
310220001121212120
43110333023020
5103243131123
65312411240
71245401160
oct324771310
9126047776
1055833288
1129575415
1216846b20
13b74b564
1475b55a0
154d7d2e3
hex353f2c8

55833288 has 64 divisors (see below), whose sum is σ = 161040000. Its totient is φ = 15800832.

The previous prime is 55833257. The next prime is 55833299. The reversal of 55833288 is 88233855.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16788 + ... + 19836.

It is an arithmetic number, because the mean of its divisors is an integer number (2516250).

Almost surely, 255833288 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 55833288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80520000).

55833288 is an abundant number, since it is smaller than the sum of its proper divisors (105206712).

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

55833288 is a wasteful number, since it uses less digits than its factorization.

55833288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 55833288 is about 7472.1675570078. The cubic root of 55833288 is about 382.2062061123.

The spelling of 55833288 in words is "fifty-five million, eight hundred thirty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2289 2616 3049 3052 4578 6098 6104 9147 9156 12196 18294 18312 21343 24392 36588 42686 64029 73176 85372 128058 170744 256116 332341 512232 664682 997023 1329364 1994046 2326387 2658728 3988092 4652774 6979161 7976184 9305548 13958322 18611096 27916644 55833288