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54990846 = 233472461
BaseRepresentation
bin1101000111000…
…1011111111110
310211110211021000
43101301133332
5103034201341
65242351130
71235262111
oct321613776
9124424230
1054990846
112904a489
12164bb4a6
13b514c81
147436578
154c638b6
hex34717fe

54990846 has 48 divisors (see below), whose sum is σ = 125128080. Its totient is φ = 17901360.

The previous prime is 54990811. The next prime is 54990847. The reversal of 54990846 is 64809945.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54990847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119056 + ... + 119516.

It is an arithmetic number, because the mean of its divisors is an integer number (2606835).

Almost surely, 254990846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54990846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62564040).

54990846 is an abundant number, since it is smaller than the sum of its proper divisors (70137234).

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

54990846 is a wasteful number, since it uses less digits than its factorization.

54990846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 54990846 is about 7415.5812988599. The cubic root of 54990846 is about 380.2741465862.

The spelling of 54990846 in words is "fifty-four million, nine hundred ninety thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 461 846 922 1269 1383 2209 2538 2766 4149 4418 6627 8298 12447 13254 19881 21667 24894 39762 43334 59643 65001 119286 130002 195003 390006 585009 1018349 1170018 2036698 3055047 6110094 9165141 18330282 27495423 54990846