Search a number
-
+
55694600 = 23521331691
BaseRepresentation
bin1101010001110…
…1010100001000
310212210120121222
43110131110020
5103224211400
65305421212
71244252633
oct324352410
9125716558
1055694600
11294901a5
121679a808
13b7003b0
14757ac1a
154d52185
hex351d508

55694600 has 96 divisors (see below), whose sum is σ = 144157440. Its totient is φ = 19872000.

The previous prime is 55694599. The next prime is 55694603. The reversal of 55694600 is 649655.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (55694603) by changing a digit.

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, 80255 + ... + 80945.

It is an arithmetic number, because the mean of its divisors is an integer number (1501640).

Almost surely, 255694600 is an apocalyptic number.

55694600 is a gapful number since it is divisible by the number (50) 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 55694600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72078720).

55694600 is an abundant number, since it is smaller than the sum of its proper divisors (88462840).

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

55694600 is a wasteful number, since it uses less digits than its factorization.

55694600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 55694600 is about 7462.8814810367. The cubic root of 55694600 is about 381.8894812909.

The spelling of 55694600 in words is "fifty-five million, six hundred ninety-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 691 775 806 1240 1300 1382 1550 1612 2015 2600 2764 3100 3224 3455 4030 5528 6200 6910 8060 8983 10075 13820 16120 17275 17966 20150 21421 27640 34550 35932 40300 42842 44915 69100 71864 80600 85684 89830 107105 138200 171368 179660 214210 224575 278473 359320 428420 449150 535525 556946 856840 898300 1071050 1113892 1392365 1796600 2142100 2227784 2784730 4284200 5569460 6961825 11138920 13923650 27847300 55694600