Search a number
-
+
55109088 = 25321791069
BaseRepresentation
bin1101001000111…
…0010111100000
310211200211110100
43102032113200
5103101442323
65245102400
71236263616
oct322162740
9124624410
1055109088
1129120301
1216557a00
13b556a38
1474676b6
154c88943
hex348e5e0

55109088 has 72 divisors (see below), whose sum is σ = 157739400. Its totient is φ = 18249984.

The previous prime is 55109071. The next prime is 55109099. The reversal of 55109088 is 88090155.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51018 + ... + 52086.

It is an arithmetic number, because the mean of its divisors is an integer number (2190825).

Almost surely, 255109088 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 55109088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78869700).

55109088 is an abundant number, since it is smaller than the sum of its proper divisors (102630312).

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

55109088 is a wasteful number, since it uses less digits than its factorization.

55109088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 55109088 is about 7423.5495553003. The cubic root of 55109088 is about 380.5465081985.

The spelling of 55109088 in words is "fifty-five million, one hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1069 1074 1432 1611 2138 2148 2864 3207 3222 4276 4296 5728 6414 6444 8552 8592 9621 12828 12888 17104 17184 19242 25656 25776 34208 38484 51312 51552 76968 102624 153936 191351 307872 382702 574053 765404 1148106 1530808 1722159 2296212 3061616 3444318 4592424 6123232 6888636 9184848 13777272 18369696 27554544 55109088