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4273405000 = 23542932917
BaseRepresentation
bin1111111010110110…
…1111110001001000
3102000211011110121021
43332231233301020
532222442430000
61544013522224
7210620225464
oct37655576110
912024143537
104273405000
1118a3253477
129b31a3374
1353146a317
142c77a34a4
151a027e11a
hexfeb6fc48

4273405000 has 80 divisors (see below), whose sum is σ = 10050204780. Its totient is φ = 1702944000.

The previous prime is 4273404983. The next prime is 4273405001. The reversal of 4273405000 is 5043724.

It can be written as a sum of positive squares in 10 ways, for example, as 547279236 + 3726125764 = 23394^2 + 61042^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4273405001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1463542 + ... + 1466458.

Almost surely, 24273405000 is an apocalyptic number.

4273405000 is a gapful number since it is divisible by the number (40) 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 4273405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025102390).

4273405000 is an abundant number, since it is smaller than the sum of its proper divisors (5776799780).

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

4273405000 is a wasteful number, since it uses less digits than its factorization.

4273405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 4273405000 is about 65371.2857453485. The cubic root of 4273405000 is about 1622.7739144051.

Adding to 4273405000 its reverse (5043724), we get a palindrome (4278448724).

The spelling of 4273405000 in words is "four billion, two hundred seventy-three million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 293 500 586 625 1000 1172 1250 1465 2344 2500 2917 2930 5000 5834 5860 7325 11668 11720 14585 14650 23336 29170 29300 36625 58340 58600 72925 73250 116680 145850 146500 183125 291700 293000 364625 366250 583400 729250 732500 854681 1458500 1465000 1709362 1823125 2917000 3418724 3646250 4273405 6837448 7292500 8546810 14585000 17093620 21367025 34187240 42734050 85468100 106835125 170936200 213670250 427340500 534175625 854681000 1068351250 2136702500 4273405000