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55216340 = 22517241233
BaseRepresentation
bin1101001010100…
…0100011010100
310211220021120122
43102220203110
5103113410330
65251251112
71240221404
oct322504324
9124807518
1055216340
1129193943
12165a9a98
13b5937ba
147494804
154caa5e5
hex34a88d4

55216340 has 72 divisors (see below), whose sum is σ = 126722232. Its totient is φ = 20193280.

The previous prime is 55216333. The next prime is 55216351. The reversal of 55216340 is 4361255.

It can be written as a sum of positive squares in 12 ways, for example, as 18079504 + 37136836 = 4252^2 + 6094^2 .

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 23 ways as a sum of consecutive naturals, for example, 236864 + ... + 237096.

It is an arithmetic number, because the mean of its divisors is an integer number (1760031).

Almost surely, 255216340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55216340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63361116).

55216340 is an abundant number, since it is smaller than the sum of its proper divisors (71505892).

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

55216340 is a wasteful number, since it uses less digits than its factorization.

55216340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 55216340 is about 7430.7698120720. The cubic root of 55216340 is about 380.7932184166.

Adding to 55216340 its reverse (4361255), we get a palindrome (59577595).

The spelling of 55216340 in words is "fifty-five million, two hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 233 289 340 410 466 578 697 820 932 1156 1165 1394 1445 2330 2788 2890 3485 3961 4660 5780 6970 7922 9553 11849 13940 15844 19106 19805 23698 38212 39610 47396 47765 59245 67337 79220 95530 118490 134674 162401 191060 236980 269348 324802 336685 649604 673370 812005 1346740 1624010 2760817 3248020 5521634 11043268 13804085 27608170 55216340