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55121337 = 3319107449
BaseRepresentation
bin1101001001000…
…1010110111001
310211201110021000
43102101112321
5103102340322
65245235213
71236344415
oct322212671
9124643230
1055121337
1129129527
1216562b09
13b55c49b
14746bd45
154c8c3ac
hex34915b9

55121337 has 16 divisors (see below), whose sum is σ = 85960000. Its totient is φ = 34813152.

The previous prime is 55121273. The next prime is 55121359. The reversal of 55121337 is 73312155.

55121337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55121337 - 26 = 55121273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55121337.

It is not an unprimeable number, because it can be changed into a prime (55122337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53212 + ... + 54237.

It is an arithmetic number, because the mean of its divisors is an integer number (5372500).

Almost surely, 255121337 is an apocalyptic number.

55121337 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

55121337 is a deficient number, since it is larger than the sum of its proper divisors (30838663).

55121337 is a wasteful number, since it uses less digits than its factorization.

55121337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107477 (or 107471 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 55121337 is about 7424.3745191093. The cubic root of 55121337 is about 380.5747005774.

The spelling of 55121337 in words is "fifty-five million, one hundred twenty-one thousand, three hundred thirty-seven".

Divisors: 1 3 9 19 27 57 171 513 107449 322347 967041 2041531 2901123 6124593 18373779 55121337