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4202361396 = 2232322136241
BaseRepresentation
bin1111101001111010…
…1111001000110100
3101211212111002002200
43322132233020310
532101301031041
61532555104500
7206065324332
oct37236571064
911755432080
104202361396
11186713a352
12993442130
1351c82479c
142bc18cb52
15198de91b6
hexfa7af234

4202361396 has 36 divisors (see below), whose sum is σ = 10626226884. Its totient is φ = 1400313600.

The previous prime is 4202361343. The next prime is 4202361413. The reversal of 4202361396 is 6931632024.

4202361396 is a `hidden beast` number, since 4 + 202 + 3 + 61 + 396 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1250612496 + 2951748900 = 35364^2 + 54330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4202361396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97836 + ... + 134076.

It is an arithmetic number, because the mean of its divisors is an integer number (295172969).

Almost surely, 24202361396 is an apocalyptic number.

It is an amenable number.

4202361396 is an abundant number, since it is smaller than the sum of its proper divisors (6423865488).

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

4202361396 is a wasteful number, since it uses less digits than its factorization.

4202361396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39472 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4202361396 is about 64825.6229896790. The cubic root of 4202361396 is about 1613.7309658772.

The spelling of 4202361396 in words is "four billion, two hundred two million, three hundred sixty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3221 6442 9663 12884 19326 28989 36241 38652 57978 72482 108723 115956 144964 217446 326169 434892 652338 1304676 116732261 233464522 350196783 466929044 700393566 1050590349 1400787132 2101180698 4202361396