Search a number
-
+
669942624 = 253134113093
BaseRepresentation
bin100111111011101…
…000001101100000
31201200121121111210
4213323220031200
52333001130444
6150251110120
722413263331
oct4773501540
91650547453
10669942624
1131418a89a
12168442340
13a8a47270
1464d92288
153dc367b9
hex27ee8360

669942624 has 96 divisors (see below), whose sum is σ = 1940216544. Its totient is φ = 201093120.

The previous prime is 669942619. The next prime is 669942649. The reversal of 669942624 is 426249966.

It is a happy number.

669942624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44622 + ... + 57714.

It is an arithmetic number, because the mean of its divisors is an integer number (20210589).

Almost surely, 2669942624 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 669942624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970108272).

669942624 is an abundant number, since it is smaller than the sum of its proper divisors (1270273920).

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

669942624 is a wasteful number, since it uses less digits than its factorization.

669942624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 13152 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 669942624 is about 25883.2498732288. The cubic root of 669942624 is about 875.0090334850.

The spelling of 669942624 in words is "six hundred sixty-nine million, nine hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1066 1248 1312 1599 1968 2132 3198 3936 4264 6396 8528 12792 13093 17056 25584 26186 39279 51168 52372 78558 104744 157116 170209 209488 314232 340418 418976 510627 536813 628464 680836 1021254 1073626 1256928 1361672 1610439 2042508 2147252 2723344 3220878 4085016 4294504 5446688 6441756 6978569 8170032 8589008 12883512 13957138 16340064 17178016 20935707 25767024 27914276 41871414 51534048 55828552 83742828 111657104 167485656 223314208 334971312 669942624