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55083336 = 23371141727
BaseRepresentation
bin1101001000100…
…0000101001000
310211122112010120
43102020011020
5103100131321
65244343240
71236125550
oct322100510
9124575116
1055083336
1129102a20
1216544b20
13b5480b9
14745c160
154c80ec6
hex3488148

55083336 has 128 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 13939200.

The previous prime is 55083331. The next prime is 55083341. The reversal of 55083336 is 63338055.

It is an interprime number because it is at equal distance from previous prime (55083331) and next prime (55083341).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 55083297 and 55083306.

It is not an unprimeable number, because it can be changed into a prime (55083331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75405 + ... + 76131.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 255083336 is an apocalyptic number.

55083336 is a gapful number since it is divisible by the number (56) 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 55083336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

55083336 is an abundant number, since it is smaller than the sum of its proper divisors (121034424).

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

55083336 is a wasteful number, since it uses less digits than its factorization.

55083336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 55083336 is about 7421.8148723880. The cubic root of 55083336 is about 380.4872235996.

The spelling of 55083336 in words is "fifty-five million, eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 727 861 902 924 984 1148 1353 1454 1722 1804 1848 2181 2296 2706 2908 3157 3444 3608 4362 5089 5412 5816 6314 6888 7997 8724 9471 10178 10824 12628 15267 15994 17448 18942 20356 23991 25256 29807 30534 31988 37884 40712 47982 55979 59614 61068 63976 75768 89421 95964 111958 119228 122136 167937 178842 191928 208649 223916 238456 327877 335874 357684 417298 447832 625947 655754 671748 715368 834596 983631 1251894 1311508 1343496 1669192 1967262 2295139 2503788 2623016 3934524 4590278 5007576 6885417 7869048 9180556 13770834 18361112 27541668 55083336