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54819420 = 22351675471
BaseRepresentation
bin1101000100011…
…1101001011100
310211011010002220
43101013221130
5103013210140
65234545340
71233646245
oct321075134
9124133086
1054819420
1128a42707
1216438250
13b484c36
1473cdccc
154c2cbd0
hex3447a5c

54819420 has 48 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 14528320.

The previous prime is 54819409. The next prime is 54819431. The reversal of 54819420 is 2491845.

54819420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54819409) and next prime (54819431).

It is a super-3 number, since 3×548194203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536).

Almost surely, 254819420 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 54819420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

54819420 is an abundant number, since it is smaller than the sum of its proper divisors (99622308).

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

54819420 is a wasteful number, since it uses less digits than its factorization.

54819420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 54819420 is about 7404.0137763243. The cubic root of 54819420 is about 379.8785854028.

The spelling of 54819420 in words is "fifty-four million, eight hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 5471 10020 10942 16413 21884 27355 32826 54710 65652 82065 109420 164130 328260 913657 1827314 2740971 3654628 4568285 5481942 9136570 10963884 13704855 18273140 27409710 54819420