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54090904 = 2372433209
BaseRepresentation
bin1100111001010…
…1110010011000
310202210002202211
43032111302120
5102321402104
65211204504
71224523300
oct316256230
9122702684
1054090904
112859532a
1216146734
13b28b46a
147280600
154b36e04
hex3395c98

54090904 has 48 divisors (see below), whose sum is σ = 120760200. Its totient is φ = 22635648.

The previous prime is 54090863. The next prime is 54090913. The reversal of 54090904 is 40909045.

54090904 = T317 + T318 + ... + T708.

It is a happy number.

54090904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 15252 + ... + 18460.

Almost surely, 254090904 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 54090904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60380100).

54090904 is an abundant number, since it is smaller than the sum of its proper divisors (66669296).

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

54090904 is a wasteful number, since it uses less digits than its factorization.

54090904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 54090904 is about 7354.6518612372. The cubic root of 54090904 is about 378.1882921078.

Adding to 54090904 its reverse (40909045), we get a palindrome (94999949).

The spelling of 54090904 in words is "fifty-four million, ninety thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 602 1204 2107 2408 3209 4214 6418 8428 12836 16856 22463 25672 44926 89852 137987 157241 179704 275974 314482 551948 628964 965909 1103896 1257928 1931818 3863636 6761363 7727272 13522726 27045452 54090904