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4201251936 = 253731201673
BaseRepresentation
bin1111101001101010…
…0000010001100000
3101211210101201012120
43322122200101200
532101010030221
61532515224240
7206053023630
oct37232402140
911753351176
104201251936
111866551842
12992ba8080
1351c5267bb
142bbd806c0
15198c7a5c6
hexfa6a0460

4201251936 has 96 divisors (see below), whose sum is σ = 13010393088. Its totient is φ = 1161630720.

The previous prime is 4201251893. The next prime is 4201251941. The reversal of 4201251936 is 6391521024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4201251897 and 4201251906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80005 + ... + 121668.

It is an arithmetic number, because the mean of its divisors is an integer number (135524928).

Almost surely, 24201251936 is an apocalyptic number.

It is an amenable number.

4201251936 is an abundant number, since it is smaller than the sum of its proper divisors (8809141152).

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

4201251936 is a wasteful number, since it uses less digits than its factorization.

4201251936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201724 (or 201716 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4201251936 is about 64817.0651603418. The cubic root of 4201251936 is about 1613.5889403690.

The spelling of 4201251936 in words is "four billion, two hundred one million, two hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 201673 403346 605019 806692 1210038 1411711 1613384 2420076 2823422 3226768 4235133 4840152 5646844 6251863 6453536 8470266 9680304 11293688 12503726 16940532 18755589 19360608 22587376 25007452 33881064 37511178 43763041 45174752 50014904 67762128 75022356 87526082 100029808 131289123 135524256 150044712 175052164 200059616 262578246 300089424 350104328 525156492 600178848 700208656 1050312984 1400417312 2100625968 4201251936