Search a number
-
+
661876596 = 2236613
BaseRepresentation
bin100111011100110…
…110111101110100
31201010102211000000
4213130312331310
52323420022341
6145402151300
722254600243
oct4734667564
91633384000
10661876596
1130a680757
121657b2530
13a7181a74
1463c9295a
153d1918b6
hex27736f74

661876596 has 84 divisors (see below), whose sum is σ = 1765575364. Its totient is φ = 217008720.

The previous prime is 661876591. The next prime is 661876603. The reversal of 661876596 is 695678166.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 159668496 + 502208100 = 12636^2 + 22410^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661876591) 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 27 ways as a sum of consecutive naturals, for example, 10850406 + ... + 10850466.

Almost surely, 2661876596 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 661876596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882787682).

661876596 is an abundant number, since it is smaller than the sum of its proper divisors (1103698768).

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

661876596 is an frugal number, since it uses more digits than its factorization.

661876596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 66 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 661876596 is about 25726.9624324365. The cubic root of 661876596 is about 871.4831775305.

Multiplying 661876596 by its sum of digits (54), we get a cube (35741336184 = 32943).

The spelling of 661876596 in words is "six hundred sixty-one million, eight hundred seventy-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 729 732 972 1098 1458 1647 2196 2916 3294 3721 4941 6588 7442 9882 11163 14823 14884 19764 22326 29646 33489 44469 44652 59292 66978 88938 100467 133956 177876 200934 226981 301401 401868 453962 602802 680943 904203 907924 1205604 1361886 1808406 2042829 2712609 2723772 3616812 4085658 5425218 6128487 8171316 10850436 12256974 18385461 24513948 36770922 55156383 73541844 110312766 165469149 220625532 330938298 661876596