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54986904 = 2333741887
BaseRepresentation
bin1101000111000…
…0100010011000
310211110121212000
43101300202120
5103034040104
65242321000
71235244450
oct321604230
9124417760
1054986904
1129047525
12164b9160
13b51323b
147434d60
154c62639
hex3470898

54986904 has 128 divisors (see below), whose sum is σ = 179020800. Its totient is φ = 15310080.

The previous prime is 54986887. The next prime is 54986933. The reversal of 54986904 is 40968945.

It is a happy number.

It is a super-2 number, since 2×549869042 = 6047119223010432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54986904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61549 + ... + 62435.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 254986904 is an apocalyptic number.

54986904 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 54986904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89510400).

54986904 is an abundant number, since it is smaller than the sum of its proper divisors (124033896).

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

54986904 is a wasteful number, since it uses less digits than its factorization.

54986904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 940 counting only the distinct ones).

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

The square root of 54986904 is about 7415.3155023910. The cubic root of 54986904 is about 380.2650597617.

The spelling of 54986904 in words is "fifty-four million, nine hundred eighty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 887 984 1107 1148 1476 1512 1722 1774 2214 2296 2583 2661 2952 3444 3548 4428 5166 5322 6209 6888 7096 7749 7983 8856 10332 10644 12418 15498 15966 18627 20664 21288 23949 24836 30996 31932 36367 37254 47898 49672 55881 61992 63864 72734 74508 95796 109101 111762 145468 149016 167643 191592 218202 223524 254569 290936 327303 335286 436404 447048 509138 654606 670572 763707 872808 981909 1018276 1309212 1341144 1527414 1963818 2036552 2291121 2618424 3054828 3927636 4582242 6109656 6873363 7855272 9164484 13746726 18328968 27493452 54986904