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4200400242 = 232317527599
BaseRepresentation
bin1111101001011101…
…0000010101110010
3101211201210102220100
43322113100111302
532100300301432
61532445053230
7206042545563
oct37227202562
911751712810
104200400242
11186601a965
12992857216
1351c2b8c3c
142bbbdc16a
15198b5d07c
hexfa5d0572

4200400242 has 24 divisors (see below), whose sum is σ = 9394444800. Its totient is φ = 1354967640.

The previous prime is 4200400213. The next prime is 4200400249. The reversal of 4200400242 is 2420040024.

4200400242 is a `hidden beast` number, since 4 + 20 + 0 + 400 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4200400249) 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 11 ways as a sum of consecutive naturals, for example, 3763242 + ... + 3764357.

It is an arithmetic number, because the mean of its divisors is an integer number (391435200).

Almost surely, 24200400242 is an apocalyptic number.

4200400242 is an abundant number, since it is smaller than the sum of its proper divisors (5194044558).

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

4200400242 is a wasteful number, since it uses less digits than its factorization.

4200400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527638 (or 7527635 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4200400242 is about 64810.4948445852. The cubic root of 4200400242 is about 1613.4798953417.

Adding to 4200400242 its reverse (2420040024), we get a palindrome (6620440266).

It can be divided in two parts, 420040024 and 2, that multiplied together give a palindrome (840080048).

The spelling of 4200400242 in words is "four billion, two hundred million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 7527599 15055198 22582797 45165594 67748391 135496782 233355569 466711138 700066707 1400133414 2100200121 4200400242