Search a number
-
+
4196114352 = 2432173746327
BaseRepresentation
bin1111101000011011…
…1001111110110000
3101211102201200202200
43322012321332300
532043201124402
61532213143200
7205661245353
oct37206717660
911742650680
104196114352
111863662901
1299132ab00
1351b448201
142bb40429a
151985b321c
hexfa1b9fb0

4196114352 has 120 divisors (see below), whose sum is σ = 12770405856. Its totient is φ = 1280821248.

The previous prime is 4196114339. The next prime is 4196114353. The reversal of 4196114352 is 2534116914.

It is a happy number.

4196114352 is a `hidden beast` number, since 4 + 1 + 9 + 611 + 4 + 35 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4196114353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67413 + ... + 113739.

Almost surely, 24196114352 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 4196114352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385202928).

4196114352 is an abundant number, since it is smaller than the sum of its proper divisors (8574291504).

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

4196114352 is a wasteful number, since it uses less digits than its factorization.

4196114352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46395 (or 46386 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4196114352 is about 64777.4216220436. The cubic root of 4196114352 is about 1612.9309356978.

The spelling of 4196114352 in words is "four billion, one hundred ninety-six million, one hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5661 7548 10064 11322 15096 22644 30192 45288 46327 90576 92654 138981 185308 277962 370616 416943 555924 741232 787559 833886 1111848 1575118 1667772 1714099 2223696 2362677 3150236 3335544 3428198 4725354 5142297 6300472 6671088 6856396 7088031 9450708 10284594 12600944 13712792 14176062 15426891 18901416 20569188 27425584 28352124 29139683 30853782 37802832 41138376 56704248 58279366 61707564 82276752 87419049 113408496 116558732 123415128 174838098 233117464 246830256 262257147 349676196 466234928 524514294 699352392 1049028588 1398704784 2098057176 4196114352