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54744984 = 23387149
BaseRepresentation
bin1101000011010…
…1011110011000
310211000100000000
43100311132120
5103003314414
65233213000
71233216240
oct320653630
9124010000
1054744984
11289a1798
1216401160
13b45a0a8
1473b0b20
154c15b09
hex3435798

54744984 has 144 divisors (see below), whose sum is σ = 177138000. Its totient is φ = 15536448.

The previous prime is 54744973. The next prime is 54745003. The reversal of 54744984 is 48944745.

54744984 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 35 ways as a sum of consecutive naturals, for example, 367342 + ... + 367490.

It is an arithmetic number, because the mean of its divisors is an integer number (1230125).

Almost surely, 254744984 is an apocalyptic number.

54744984 is a gapful number since it is divisible by the number (54) 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 54744984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88569000).

54744984 is an abundant number, since it is smaller than the sum of its proper divisors (122393016).

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

54744984 is an equidigital number, since it uses as much as digits as its factorization.

54744984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 54744984 is about 7398.9853358417. The cubic root of 54744984 is about 379.7065694126.

The spelling of 54744984 in words is "fifty-four million, seven hundred forty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 149 162 168 189 216 243 252 298 324 378 447 486 504 567 596 648 729 756 894 972 1043 1134 1192 1341 1458 1512 1701 1788 1944 2086 2187 2268 2682 2916 3129 3402 3576 4023 4172 4374 4536 5103 5364 5832 6258 6561 6804 8046 8344 8748 9387 10206 10728 12069 12516 13122 13608 15309 16092 17496 18774 20412 24138 25032 26244 28161 30618 32184 36207 37548 40824 45927 48276 52488 56322 61236 72414 75096 84483 91854 96552 108621 112644 122472 144828 168966 183708 217242 225288 253449 289656 325863 337932 367416 434484 506898 651726 675864 760347 868968 977589 1013796 1303452 1520694 1955178 2027592 2281041 2606904 3041388 3910356 4562082 6082776 6843123 7820712 9124164 13686246 18248328 27372492 54744984