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4200023152 = 241326592357
BaseRepresentation
bin1111101001010111…
…0100010001110000
3101211201002021122001
43322111310101300
532100201220102
61532433023344
7206036415313
oct37225642160
911751067561
104200023152
111865892616
129926b4b54
1351c1b6400
142bbb4097a
15198ad6487
hexfa574470

4200023152 has 60 divisors (see below), whose sum is σ = 8828776440. Its totient is φ = 1934709504.

The previous prime is 4200023137. The next prime is 4200023159. The reversal of 4200023152 is 2513200024.

4200023152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200023159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1780758 + ... + 1783114.

It is an arithmetic number, because the mean of its divisors is an integer number (147146274).

Almost surely, 24200023152 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 4200023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414388220).

4200023152 is an abundant number, since it is smaller than the sum of its proper divisors (4628753288).

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

4200023152 is a wasteful number, since it uses less digits than its factorization.

4200023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4200023152 is about 64807.5856053904. The cubic root of 4200023152 is about 1613.4316106302.

Adding to 4200023152 its reverse (2513200024), we get a palindrome (6713223176).

The spelling of 4200023152 in words is "four billion, two hundred million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 659 676 1318 1352 2357 2636 2704 4714 5272 8567 9428 10544 17134 18856 30641 34268 37712 61282 68536 111371 122564 137072 222742 245128 398333 445484 490256 796666 890968 1553263 1593332 1781936 3106526 3186664 6213052 6373328 12426104 20192419 24852208 40384838 80769676 161539352 262501447 323078704 525002894 1050005788 2100011576 4200023152