Search a number
-
+
55003350 = 235223107149
BaseRepresentation
bin1101000111010…
…0100011010110
310211111110102010
43101310203112
5103040101400
65242525050
71235343423
oct321644326
9124443363
1055003350
1129058916
1216506786
13b51a87c
14743ad4a
154c67450
hex34748d6

55003350 has 96 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 13805440.

The previous prime is 55003337. The next prime is 55003357. The reversal of 55003350 is 5330055.

55003350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×550033502 = 6050737022445000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55003357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 369076 + ... + 369224.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 255003350 is an apocalyptic number.

55003350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55003350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

55003350 is an abundant number, since it is smaller than the sum of its proper divisors (89630250).

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

55003350 is a wasteful number, since it uses less digits than its factorization.

55003350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 21.

The square root of 55003350 is about 7416.4243406105. The cubic root of 55003350 is about 380.3029670653.

The spelling of 55003350 in words is "fifty-five million, three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 107 115 138 149 150 214 230 298 321 345 447 535 575 642 690 745 894 1070 1150 1490 1605 1725 2235 2461 2675 3210 3427 3450 3725 4470 4922 5350 6854 7383 7450 8025 10281 11175 12305 14766 15943 16050 17135 20562 22350 24610 31886 34270 36915 47829 51405 61525 73830 79715 85675 95658 102810 123050 159430 171350 184575 239145 257025 366689 369150 398575 478290 514050 733378 797150 1100067 1195725 1833445 2200134 2391450 3666890 5500335 9167225 11000670 18334450 27501675 55003350