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54775552 = 2813109151
BaseRepresentation
bin1101000011110…
…0111100000000
310211001212221011
43100330330000
5103010304202
65234010304
71233404326
oct320747400
9124055834
1054775552
1128a12757
1216416994
13b46ac90
1473bbd16
154c1ebd7
hex343cf00

54775552 has 72 divisors (see below), whose sum is σ = 119614880. Its totient is φ = 24883200.

The previous prime is 54775531. The next prime is 54775561. The reversal of 54775552 is 25557745.

It is a super-2 number, since 2×547755522 = 6000722193809408, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362677 + ... + 362827.

Almost surely, 254775552 is an apocalyptic number.

54775552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59807440).

54775552 is an abundant number, since it is smaller than the sum of its proper divisors (64839328).

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

54775552 is a wasteful number, since it uses less digits than its factorization.

54775552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its digits is 245000, while the sum is 40.

The square root of 54775552 is about 7401.0507362131. The cubic root of 54775552 is about 379.7772286154. Note that the first 3 decimals are identical.

The spelling of 54775552 in words is "fifty-four million, seven hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 151 208 218 256 302 416 436 604 832 872 1208 1417 1664 1744 1963 2416 2834 3328 3488 3926 4832 5668 6976 7852 9664 11336 13952 15704 16459 19328 22672 27904 31408 32918 38656 45344 62816 65836 90688 125632 131672 181376 213967 251264 263344 362752 427934 502528 526688 855868 1053376 1711736 2106752 3423472 4213504 6846944 13693888 27387776 54775552