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55171296 = 2532238329
BaseRepresentation
bin1101001001110…
…1100011100000
310211210222210100
43102131203200
5103110440141
65250302400
71236643155
oct322354340
9124728710
1055171296
1129163014
1216587a00
13b57914b
14748222c
154c9c0b6
hex349d8e0

55171296 has 72 divisors (see below), whose sum is σ = 163734480. Its totient is φ = 17588736.

The previous prime is 55171247. The next prime is 55171301. The reversal of 55171296 is 69217155.

55171296 is a `hidden beast` number, since 551 + 7 + 12 + 96 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 55171296.

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, 2460 + ... + 10788.

It is an arithmetic number, because the mean of its divisors is an integer number (2274090).

Almost surely, 255171296 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 55171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81867240).

55171296 is an abundant number, since it is smaller than the sum of its proper divisors (108563184).

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

55171296 is a wasteful number, since it uses less digits than its factorization.

55171296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8357 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 55171296 is about 7427.7382829499. The cubic root of 55171296 is about 380.6896433033.

The spelling of 55171296 in words is "fifty-five million, one hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 8329 16658 24987 33316 49974 66632 74961 99948 133264 149922 191567 199896 266528 299844 383134 399792 574701 599688 766268 799584 1149402 1199376 1532536 1724103 2298804 2398752 3065072 3448206 4597608 6130144 6896412 9195216 13792824 18390432 27585648 55171296