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55842020 = 22513397541
BaseRepresentation
bin1101010100000…
…1010011100100
310220002001211222
43111001103210
5103243421040
65312515512
71245435503
oct325012344
9126061758
1055842020
1129580a33
121684bb98
13b752520
1475b883a
154d80bb5
hex35414e4

55842020 has 48 divisors (see below), whose sum is σ = 126841008. Its totient is φ = 20528640.

The previous prime is 55841983. The next prime is 55842029. The reversal of 55842020 is 2024855.

It can be written as a sum of positive squares in 8 ways, for example, as 2930944 + 52911076 = 1712^2 + 7274^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (55842029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102950 + ... + 103490.

It is an arithmetic number, because the mean of its divisors is an integer number (2642521).

Almost surely, 255842020 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 55842020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63420504).

55842020 is an abundant number, since it is smaller than the sum of its proper divisors (70998988).

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

55842020 is a wasteful number, since it uses less digits than its factorization.

55842020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 55842020 is about 7472.7518358366. The cubic root of 55842020 is about 382.2261300128.

Adding to 55842020 its reverse (2024855), we get a palindrome (57866875).

The spelling of 55842020 in words is "fifty-five million, eight hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 397 541 794 1082 1588 1985 2164 2705 3970 5161 5410 7033 7940 10322 10820 14066 20644 25805 28132 35165 51610 70330 103220 140660 214777 429554 859108 1073885 2147770 2792101 4295540 5584202 11168404 13960505 27921010 55842020