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54433296 = 243497433
BaseRepresentation
bin1100111110100…
…1011000010000
310210102111110000
43033221120100
5102413331141
65222410000
71230450441
oct317513020
9123374400
1054433296
11287a95a5
1216290900
13b37b268
14732d2c8
154ba35b6
hex33e9610

54433296 has 100 divisors (see below), whose sum is σ = 159537532. Its totient is φ = 17915904.

The previous prime is 54433283. The next prime is 54433297. The reversal of 54433296 is 69233445.

It can be written as a sum of positive squares in 2 ways, for example, as 14288400 + 40144896 = 3780^2 + 6336^2 .

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 54433296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54433297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125496 + ... + 125928.

Almost surely, 254433296 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 54433296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768766).

54433296 is an abundant number, since it is smaller than the sum of its proper divisors (105104236).

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

54433296 is a wasteful number, since it uses less digits than its factorization.

54433296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 535 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 54433296 is about 7377.8923819747. The cubic root of 54433296 is about 378.9845836258.

The spelling of 54433296 in words is "fifty-four million, four hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 291 324 388 432 433 582 648 776 866 873 1164 1296 1299 1552 1732 1746 2328 2598 2619 3464 3492 3897 4656 5196 5238 6928 6984 7794 7857 10392 10476 11691 13968 15588 15714 20784 20952 23382 31176 31428 35073 41904 42001 46764 62352 62856 70146 84002 93528 125712 126003 140292 168004 187056 252006 280584 336008 378009 504012 561168 672016 756018 1008024 1134027 1512036 2016048 2268054 3024072 3402081 4536108 6048144 6804162 9072216 13608324 18144432 27216648 54433296