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54691328 = 29372887
BaseRepresentation
bin1101000010100…
…0011000000000
310210220121101202
43100220120000
5103000110303
65232120332
71232603636
oct320503000
9123817352
1054691328
112896544a
12163960a8
13b43b843
147399356
154c04c88
hex3428600

54691328 has 40 divisors (see below), whose sum is σ = 112268112. Its totient is φ = 26597376.

The previous prime is 54691327. The next prime is 54691333. The reversal of 54691328 is 82319645.

It is a happy number.

It is a super-2 number, since 2×546913282 = 5982282716807168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54691291 and 54691300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54691327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17501 + ... + 20387.

Almost surely, 254691328 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 54691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56134056).

54691328 is an abundant number, since it is smaller than the sum of its proper divisors (57576784).

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

54691328 is an equidigital number, since it uses as much as digits as its factorization.

54691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2926 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 54691328 is about 7395.3585443844. The cubic root of 54691328 is about 379.5824777065.

The spelling of 54691328 in words is "fifty-four million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 2887 4736 5774 9472 11548 18944 23096 46192 92384 106819 184768 213638 369536 427276 739072 854552 1478144 1709104 3418208 6836416 13672832 27345664 54691328