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2542435000 = 23547174273
BaseRepresentation
bin1001011110001010…
…0111101010111000
320120012001002011021
42113202213222320
520201330410000
61100141112224
7120001224640
oct22742475270
96505032137
102542435000
111095158056
125ab558674
13316969411
141a1939520
15ed30e11a
hex978a7ab8

2542435000 has 160 divisors (see below), whose sum is σ = 7210067040. Its totient is φ = 820224000.

The previous prime is 2542434991. The next prime is 2542435003. The reversal of 2542435000 is 5342452.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542435003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 592864 + ... + 597136.

It is an arithmetic number, because the mean of its divisors is an integer number (45062919).

Almost surely, 22542435000 is an apocalyptic number.

2542435000 is a gapful number since it is divisible by the number (20) 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 2542435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605033520).

2542435000 is an abundant number, since it is smaller than the sum of its proper divisors (4667632040).

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

2542435000 is a wasteful number, since it uses less digits than its factorization.

2542435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2542435000 is about 50422.5643933349. The cubic root of 2542435000 is about 1364.8448525959.

Adding to 2542435000 its reverse (5342452), we get a palindrome (2547777452).

The spelling of 2542435000 in words is "two billion, five hundred forty-two million, four hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 625 680 700 850 875 952 1000 1190 1250 1400 1700 1750 2125 2380 2500 2975 3400 3500 4250 4273 4375 4760 5000 5950 7000 8500 8546 8750 10625 11900 14875 17000 17092 17500 21250 21365 23800 29750 29911 34184 35000 42500 42730 59500 59822 72641 74375 85000 85460 106825 119000 119644 145282 148750 149555 170920 213650 239288 290564 297500 299110 363205 427300 508487 534125 581128 595000 598220 726410 747775 854600 1016974 1068250 1196440 1452820 1495550 1816025 2033948 2136500 2542435 2670625 2905640 2991100 3632050 3738875 4067896 4273000 5084870 5341250 5982200 7264100 7477750 9080125 10169740 10682500 12712175 14528200 14955500 18160250 18694375 20339480 21365000 25424350 29911000 36320500 37388750 45400625 50848700 63560875 72641000 74777500 90801250 101697400 127121750 149555000 181602500 254243500 317804375 363205000 508487000 635608750 1271217500 2542435000