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55133312 = 2713171949
BaseRepresentation
bin1101001001010…
…0010010000000
310211202001200112
43102110102000
5103103231222
65245410452
71236424343
oct322242200
9124661615
1055133312
1129137523
1216569a28
13b564a80
14747245a
154c90be2
hex3494480

55133312 has 64 divisors (see below), whose sum is σ = 125307000. Its totient is φ = 23937024.

The previous prime is 55133311. The next prime is 55133333. The reversal of 55133312 is 21333155.

It can be written as a sum of positive squares in 4 ways, for example, as 51036736 + 4096576 = 7144^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (55133311) 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, 27314 + ... + 29262.

Almost surely, 255133312 is an apocalyptic number.

55133312 is a gapful number since it is divisible by the number (52) 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 55133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62653500).

55133312 is an abundant number, since it is smaller than the sum of its proper divisors (70173688).

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

55133312 is a wasteful number, since it uses less digits than its factorization.

55133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its digits is 1350, while the sum is 23.

The square root of 55133312 is about 7425.1809405563. The cubic root of 55133312 is about 380.6022582789.

Adding to 55133312 its reverse (21333155), we get a palindrome (76466467).

The spelling of 55133312 in words is "fifty-five million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 1949 2176 3536 3898 7072 7796 14144 15592 25337 28288 31184 33133 50674 62368 66266 101348 124736 132532 202696 249472 265064 405392 430729 530128 810784 861458 1060256 1621568 1722916 2120512 3243136 3445832 4241024 6891664 13783328 27566656 55133312