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54698112 = 2733721719
BaseRepresentation
bin1101000010101…
…0000010000000
310210220221201000
43100222002000
5103000314422
65232212000
71232632500
oct320520200
9123827630
1054698112
112896a557
121639a000
13b441961
14739ba00
154c06cac
hex342a080

54698112 has 384 divisors, whose sum is σ = 209304000. Its totient is φ = 13934592.

The previous prime is 54698087. The next prime is 54698143. The reversal of 54698112 is 21189645.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17280) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2878839 + ... + 2878857.

Almost surely, 254698112 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 54698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

54698112 is an abundant number, since it is smaller than the sum of its proper divisors (154605888).

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

54698112 is a wasteful number, since it uses less digits than its factorization.

54698112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 54698112 is about 7395.8171962265. The cubic root of 54698112 is about 379.5981717306.

The spelling of 54698112 in words is "fifty-four million, six hundred ninety-eight thousand, one hundred twelve".