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55078740 = 223251571949
BaseRepresentation
bin1101001000011…
…0111101010100
310211122021211100
43102012331110
5103100004430
65244310100
71236106263
oct322067524
9124567740
1055078740
11290aa522
1216542330
13b545c92
14745a5da
154c7e960
hex3486f54

55078740 has 72 divisors (see below), whose sum is σ = 168222600. Its totient is φ = 14586624.

The previous prime is 55078733. The next prime is 55078741. The reversal of 55078740 is 4787055.

55078740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7551504 + 47527236 = 2748^2 + 6894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55078695 and 55078704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55078741) 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 23 ways as a sum of consecutive naturals, for example, 27286 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (2336425).

Almost surely, 255078740 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 55078740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84111300).

55078740 is an abundant number, since it is smaller than the sum of its proper divisors (113143860).

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

55078740 is a wasteful number, since it uses less digits than its factorization.

55078740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55078740 is about 7421.5052381576. The cubic root of 55078740 is about 380.4766410409.

The spelling of 55078740 in words is "fifty-five million, seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 1949 2355 2826 3140 3898 4710 5652 5847 7065 7796 9420 9745 11694 14130 17541 19490 23388 28260 29235 35082 38980 58470 70164 87705 116940 175410 305993 350820 611986 917979 1223972 1529965 1835958 2753937 3059930 3671916 4589895 5507874 6119860 9179790 11015748 13769685 18359580 27539370 55078740