Search a number
-
+
55609040 = 24517311319
BaseRepresentation
bin1101010000100…
…0011011010000
310212122020021002
43110020123100
5103213442130
65303521132
71243445324
oct324103320
9125566232
1055609040
1129431993
12167591a8
13b6a0476
147557984
154d36b45
hex35086d0

55609040 has 80 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 20244480.

The previous prime is 55609027. The next prime is 55609049. The reversal of 55609040 is 4090655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 55608994 and 55609012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55609049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41501 + ... + 42819.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 255609040 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 55609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

55609040 is an abundant number, since it is smaller than the sum of its proper divisors (85810480).

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

55609040 is a wasteful number, since it uses less digits than its factorization.

55609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 55609040 is about 7457.1469074975. The cubic root of 55609040 is about 381.6938237214.

Adding to 55609040 its reverse (4090655), we get a palindrome (59699695).

The spelling of 55609040 in words is "fifty-five million, six hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1319 1360 2108 2480 2635 2638 4216 5270 5276 6595 8432 10540 10552 13190 21080 21104 22423 26380 40889 42160 44846 52760 81778 89692 105520 112115 163556 179384 204445 224230 327112 358768 408890 448460 654224 695113 817780 896920 1390226 1635560 1793840 2780452 3271120 3475565 5560904 6951130 11121808 13902260 27804520 55609040