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4142602436 = 2273712973083
BaseRepresentation
bin1111011011101011…
…0001100011000100
3101200201001000012212
43312322301203010
531441001234221
61523022202552
7204441353060
oct36672614304
911621030185
104142602436
111836433585
12977423458
1351033045b
142b4274aa0
15193a42b5b
hexf6eb18c4

4142602436 has 48 divisors (see below), whose sum is σ = 8518452096. Its totient is φ = 1725525504.

The previous prime is 4142602369. The next prime is 4142602439. The reversal of 4142602436 is 6342062414.

It is a super-2 number, since 2×41426024362 = 34322309885506268192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4142602439) 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 15 ways as a sum of consecutive naturals, for example, 1342151 + ... + 1345233.

It is an arithmetic number, because the mean of its divisors is an integer number (177467752).

Almost surely, 24142602436 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 4142602436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259226048).

4142602436 is an abundant number, since it is smaller than the sum of its proper divisors (4375849660).

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

4142602436 is a wasteful number, since it uses less digits than its factorization.

4142602436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4142602436 is about 64363.0517921579. The cubic root of 4142602436 is about 1606.0451568055.

The spelling of 4142602436 in words is "four billion, one hundred forty-two million, six hundred two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 1297 2594 3083 5188 6166 9079 12332 18158 21581 36316 43162 47989 86324 95978 114071 191956 228142 335923 456284 671846 798497 1343692 1596994 3193988 3998651 7997302 15994604 27990557 55981114 111962228 147950087 295900174 591800348 1035650609 2071301218 4142602436