Search a number
-
+
55311072 = 2534313399
BaseRepresentation
bin1101001011111…
…1101011100000
310212002002112020
43102333223200
5103124423242
65253301440
71241064525
oct322775340
9125062466
1055311072
1129249033
1216634880
13b5c795b
1474bb14c
154cc86ec
hex34bfae0

55311072 has 48 divisors (see below), whose sum is σ = 148579200. Its totient is φ = 18006912.

The previous prime is 55311043. The next prime is 55311077. The reversal of 55311072 is 27011355.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55311077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2572 + ... + 10827.

It is an arithmetic number, because the mean of its divisors is an integer number (3095400).

Almost surely, 255311072 is an apocalyptic number.

It is an amenable number.

55311072 is an abundant number, since it is smaller than the sum of its proper divisors (93268128).

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

55311072 is a wasteful number, since it uses less digits than its factorization.

55311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 55311072 is about 7437.1413863124. The cubic root of 55311072 is about 381.0108634898.

The spelling of 55311072 in words is "fifty-five million, three hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 13399 26798 40197 53596 80394 107192 160788 214384 321576 428768 576157 643152 1152314 1286304 1728471 2304628 3456942 4609256 6913884 9218512 13827768 18437024 27655536 55311072