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55363248 = 24323710391
BaseRepresentation
bin1101001100110…
…0011010110000
310212011202002200
43103030122300
5103133110443
65254343200
71241402613
oct323143260
9125152080
1055363248
1129284256
121665ab00
13b615625
1474d217a
154cd8dd3
hex34cc6b0

55363248 has 60 divisors (see below), whose sum is σ = 159143088. Its totient is φ = 17953920.

The previous prime is 55363247. The next prime is 55363261. The reversal of 55363248 is 84236355.

It is a happy number.

55363248 is a `hidden beast` number, since 55 + 363 + 248 = 666.

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 (55363247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 10523.

Almost surely, 255363248 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 55363248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79571544).

55363248 is an abundant number, since it is smaller than the sum of its proper divisors (103779840).

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

55363248 is a wasteful number, since it uses less digits than its factorization.

55363248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10433 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55363248 is about 7440.6483588462. The cubic root of 55363248 is about 381.1306308011.

It can be divided in two parts, 55363 and 248, that added together give a triangular number (55611 = T333).

The spelling of 55363248 in words is "fifty-five million, three hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 10391 20782 31173 41564 62346 83128 93519 124692 166256 187038 249384 374076 384467 498768 748152 768934 1153401 1496304 1537868 2306802 3075736 3460203 4613604 6151472 6920406 9227208 13840812 18454416 27681624 55363248