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54900006 = 2371989773
BaseRepresentation
bin1101000101101…
…1010100100110
310211022012122120
43101123110212
5103023300011
65240410410
71234433220
oct321332446
9124265576
1054900006
1128a98207
1216476a06
13b4b2815
147411410
154c46a06
hex345b526

54900006 has 64 divisors (see below), whose sum is σ = 133747200. Its totient is φ = 14674176.

The previous prime is 54899989. The next prime is 54900017. The reversal of 54900006 is 60000945.

54900006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 70636 + ... + 71408.

It is an arithmetic number, because the mean of its divisors is an integer number (2089800).

Almost surely, 254900006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54900006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66873600).

54900006 is an abundant number, since it is smaller than the sum of its proper divisors (78847194).

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

54900006 is a wasteful number, since it uses less digits than its factorization.

54900006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 54900006 is about 7409.4538260252. The cubic root of 54900006 is about 380.0646381272.

The spelling of 54900006 in words is "fifty-four million, nine hundred thousand, six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 89 114 133 178 266 267 399 534 623 773 798 1246 1546 1691 1869 2319 3382 3738 4638 5073 5411 10146 10822 11837 14687 16233 23674 29374 32466 35511 44061 68797 71022 88122 102809 137594 205618 206391 308427 412782 481579 616854 963158 1307143 1444737 2614286 2889474 3921429 7842858 9150001 18300002 27450003 54900006