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54556096 = 267472591
BaseRepresentation
bin1101000000011…
…1010111000000
310210122201220011
43100013113000
5102431243341
65225154304
71231501450
oct320072700
9123581804
1054556096
1128882891
121632b994
13b3c211a
147361d60
154bc9b81
hex34075c0

54556096 has 56 divisors (see below), whose sum is σ = 126406656. Its totient is φ = 22874880.

The previous prime is 54556067. The next prime is 54556097. The reversal of 54556096 is 69065545.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×545560962 = 5952735221522432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54556097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19761 + ... + 22351.

Almost surely, 254556096 is an apocalyptic number.

54556096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63203328).

54556096 is an abundant number, since it is smaller than the sum of its proper divisors (71850560).

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

54556096 is a wasteful number, since it uses less digits than its factorization.

54556096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 54556096 is about 7386.2098535040. The cubic root of 54556096 is about 379.2693624711.

The spelling of 54556096 in words is "fifty-four million, five hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2591 2632 3008 5182 5264 10364 10528 18137 20728 21056 36274 41456 72548 82912 121777 145096 165824 243554 290192 487108 580384 852439 974216 1160768 1704878 1948432 3409756 3896864 6819512 7793728 13639024 27278048 54556096