Search a number
-
+
55172640 = 2535137839
BaseRepresentation
bin1101001001110…
…1111000100000
310211211001122010
43102131320200
5103111011030
65250312520
71236650115
oct322357040
9124731563
1055172640
1129164026
1216588740
13b579943
14748290c
154c9c6b0
hex349de20

55172640 has 96 divisors (see below), whose sum is σ = 175271040. Its totient is φ = 14587904.

The previous prime is 55172567. The next prime is 55172651. The reversal of 55172640 is 4627155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55172598 and 55172607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65341 + ... + 66179.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 255172640 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 55172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635520).

55172640 is an abundant number, since it is smaller than the sum of its proper divisors (120098400).

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

55172640 is a wasteful number, since it uses less digits than its factorization.

55172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 55172640 is about 7427.8287540842. The cubic root of 55172640 is about 380.6927345408.

Adding to 55172640 its reverse (4627155), we get a palindrome (59799795).

The spelling of 55172640 in words is "fifty-five million, one hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 160 240 274 411 480 548 685 822 839 1096 1370 1644 1678 2055 2192 2517 2740 3288 3356 4110 4195 4384 5034 5480 6576 6712 8220 8390 10068 10960 12585 13152 13424 16440 16780 20136 21920 25170 26848 32880 33560 40272 50340 65760 67120 80544 100680 114943 134240 201360 229886 344829 402720 459772 574715 689658 919544 1149430 1379316 1724145 1839088 2298860 2758632 3448290 3678176 4597720 5517264 6896580 9195440 11034528 13793160 18390880 27586320 55172640