Search a number
-
+
55127205 = 32572231087
BaseRepresentation
bin1101001001001…
…0110010100101
310211201202022100
43102102302211
5103103032310
65245322313
71236400500
oct322226245
9124652270
1055127205
1129132981
1216566399
13b562063
147470137
154c8dec0
hex3492ca5

55127205 has 72 divisors (see below), whose sum is σ = 116093952. Its totient is φ = 24083136.

The previous prime is 55127203. The next prime is 55127239. The reversal of 55127205 is 50272155.

It is a happy number.

It is not a de Polignac number, because 55127205 - 21 = 55127203 is a prime.

It is a super-2 number, since 2×551272052 = 6078017462224050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55127203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50172 + ... + 51258.

It is an arithmetic number, because the mean of its divisors is an integer number (1612416).

Almost surely, 255127205 is an apocalyptic number.

It is an amenable number.

55127205 is an abundant number, since it is smaller than the sum of its proper divisors (60966747).

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

55127205 is a wasteful number, since it uses less digits than its factorization.

55127205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 55127205 is about 7424.7696933979. The cubic root of 55127205 is about 380.5882049251.

It can be divided in two parts, 55 and 127205, that added together give a triangular number (127260 = T504).

The spelling of 55127205 in words is "fifty-five million, one hundred twenty-seven thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1087 1127 1449 2205 2415 3261 3381 5435 5635 7245 7609 9783 10143 16305 16905 22827 25001 38045 48915 50715 53263 68481 75003 114135 125005 159789 175007 225009 266315 342405 375015 479367 525021 798945 875035 1125045 1225049 1575063 2396835 2625105 3675147 6125245 7875315 11025441 18375735 55127205