Search a number
-
+
4156407675 = 34527293221
BaseRepresentation
bin1111011110111101…
…1011111101111011
3101201200000101110000
43313233123331323
532003020021200
61524234124043
7204666611430
oct36757337573
911650011400
104156407675
111843202672
1297bb80623
13513155034
142b6029b87
15194d6d300
hexf7bdbf7b

4156407675 has 60 divisors (see below), whose sum is σ = 8799005776. Its totient is φ = 1900065600.

The previous prime is 4156407659. The next prime is 4156407679. The reversal of 4156407675 is 5767046514.

It is not a de Polignac number, because 4156407675 - 24 = 4156407659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4156407675.

It is not an unprimeable number, because it can be changed into a prime (4156407679) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 132436 + ... + 160785.

Almost surely, 24156407675 is an apocalyptic number.

4156407675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4156407675 is an abundant number, since it is smaller than the sum of its proper divisors (4642598101).

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

4156407675 is a wasteful number, since it uses less digits than its factorization.

4156407675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293250 (or 293236 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4156407675 is about 64470.2076543887. The cubic root of 4156407675 is about 1607.8272292933.

The spelling of 4156407675 in words is "four billion, one hundred fifty-six million, four hundred seven thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 293221 879663 1466105 2052547 2638989 4398315 6157641 7330525 7916967 10262735 13194945 18472923 21991575 23750901 30788205 39584835 51313675 55418769 65974725 92364615 118754505 153941025 166256307 197924175 277093845 461823075 593772525 831281535 1385469225 4156407675