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54993876 = 2237331431
BaseRepresentation
bin1101000111001…
…0001111010100
310211110222102020
43101302033110
5103034301001
65242413140
71235304000
oct321621724
9124428366
1054993876
1129051793
12165011b0
13b516472
147437700
154c64736
hex34723d4

54993876 has 96 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 15170400.

The previous prime is 54993871. The next prime is 54993899. The reversal of 54993876 is 67839945.

54993876 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 not an unprimeable number, because it can be changed into a prime (54993871) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127381 + ... + 127811.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 254993876 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 54993876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

54993876 is an abundant number, since it is smaller than the sum of its proper divisors (99834924).

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

54993876 is a wasteful number, since it uses less digits than its factorization.

54993876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 54993876 is about 7415.7855956062. The cubic root of 54993876 is about 380.2811308366.

The spelling of 54993876 in words is "fifty-four million, nine hundred ninety-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 431 434 588 651 686 862 868 1029 1293 1302 1372 1519 1724 2058 2586 2604 3017 3038 4116 4557 5172 6034 6076 9051 9114 10633 12068 13361 18102 18228 21119 21266 26722 31899 36204 40083 42238 42532 53444 63357 63798 80166 84476 93527 126714 127596 147833 160332 187054 253428 280581 295666 374108 443499 561162 591332 654689 886998 1122324 1309378 1773996 1964067 2618756 3928134 4582823 7856268 9165646 13748469 18331292 27496938 54993876