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2052054424 = 237315322303
BaseRepresentation
bin111101001001111…
…1101110110011000
312022000022011110201
41322103331312120
513200311220144
6535342351544
7101565113650
oct17223756630
95260264421
102052054424
11963370952
1249328b5b4
132691a18b4
14156769360
15c02461d4
hex7a4fdd98

2052054424 has 64 divisors (see below), whose sum is σ = 4624957440. Its totient is φ = 834986880.

The previous prime is 2052054421. The next prime is 2052054427. The reversal of 2052054424 is 4244502502.

It is an interprime number because it is at equal distance from previous prime (2052054421) and next prime (2052054427).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2052054392 and 2052054401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052054421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80857 + ... + 103159.

It is an arithmetic number, because the mean of its divisors is an integer number (72264960).

Almost surely, 22052054424 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 2052054424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312478720).

2052054424 is an abundant number, since it is smaller than the sum of its proper divisors (2572903016).

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

2052054424 is a wasteful number, since it uses less digits than its factorization.

2052054424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22400 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2052054424 is about 45299.6073272164. The cubic root of 2052054424 is about 1270.7583096052.

Adding to 2052054424 its reverse (4244502502), we get a palindrome (6296556926).

The spelling of 2052054424 in words is "two billion, fifty-two million, fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 53 56 62 106 124 212 217 248 371 424 434 742 868 1484 1643 1736 2968 3286 6572 11501 13144 22303 23002 44606 46004 89212 92008 156121 178424 312242 624484 691393 1182059 1248968 1382786 2364118 2765572 4728236 4839751 5531144 8274413 9456472 9679502 16548826 19359004 33097652 36643829 38718008 66195304 73287658 146575316 256506803 293150632 513013606 1026027212 2052054424