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54990936 = 2332721113109
BaseRepresentation
bin1101000111000…
…1100001011000
310211110211101100
43101301201120
5103034202221
65242351400
71235262300
oct321614130
9124424340
1054990936
112904a560
12164bb560
13b515020
147436600
154c63926
hex3471858

54990936 has 288 divisors, whose sum is σ = 205405200. Its totient is φ = 13063680.

The previous prime is 54990889. The next prime is 54991043. The reversal of 54990936 is 63909945.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54990891 and 54990900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504450 + ... + 504558.

Almost surely, 254990936 is an apocalyptic number.

54990936 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 54990936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102702600).

54990936 is an abundant number, since it is smaller than the sum of its proper divisors (150414264).

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

54990936 is a wasteful number, since it uses less digits than its factorization.

54990936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 54990936 is about 7415.5873671611. The cubic root of 54990936 is about 380.2743540429.

It can be divided in two parts, 549909 and 36, that added together give a palindrome (549945).

The spelling of 54990936 in words is "fifty-four million, nine hundred ninety thousand, nine hundred thirty-six".