[go: up one dir, main page]

Search a number
-
+
4172796 = 223953
BaseRepresentation
bin1111111010101111111100
321212000000000
433322233330
52032012141
6225234300
750316405
oct17725774
97760000
104172796
1123a00a1
121492990
13b31414
147a89ac
155765b6
hex3fabfc

4172796 has 60 divisors (see below), whose sum is σ = 11160072. Its totient is φ = 1364688.

The previous prime is 4172789. The next prime is 4172807. The reversal of 4172796 is 6972714.

It is a happy number.

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

Its product of digits (21168) is a multiple of the sum of its prime factors (84).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4172796.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 78706 + ... + 78758.

Almost surely, 24172796 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 4172796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580036).

4172796 is an abundant number, since it is smaller than the sum of its proper divisors (6987276).

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

4172796 is an frugal number, since it uses more digits than its factorization.

4172796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4172796 is about 2042.7422744928. The cubic root of 4172796 is about 160.9937628591.

The spelling of 4172796 in words is "four million, one hundred seventy-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 729 954 972 1431 1458 1908 2187 2862 2916 4293 4374 5724 6561 8586 8748 12879 13122 17172 19683 25758 26244 38637 39366 51516 77274 78732 115911 154548 231822 347733 463644 695466 1043199 1390932 2086398 4172796