Search a number
-
+
2375231648 = 2519149157167
BaseRepresentation
bin1000110110010011…
…0010100010100000
320010112102021021112
42031210302202200
514331024403043
61031405242452
7112601064416
oct21544624240
96115367245
102375231648
111009835769
12563563428
132bb12601a
141876532b6
15dd7d2518
hex8d9328a0

2375231648 has 96 divisors (see below), whose sum is σ = 5016816000. Its totient is φ = 1103791104.

The previous prime is 2375231647. The next prime is 2375231681. The reversal of 2375231648 is 8461325732.

It is not an unprimeable number, because it can be changed into a prime (2375231641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14222861 + ... + 14223027.

It is an arithmetic number, because the mean of its divisors is an integer number (52258500).

Almost surely, 22375231648 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 2375231648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508408000).

2375231648 is an abundant number, since it is smaller than the sum of its proper divisors (2641584352).

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

2375231648 is a wasteful number, since it uses less digits than its factorization.

2375231648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 2375231648 is about 48736.3483244282. The cubic root of 2375231648 is about 1334.2442004880.

The spelling of 2375231648 in words is "two billion, three hundred seventy-five million, two hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 149 152 157 167 298 304 314 334 596 608 628 668 1192 1256 1336 2384 2512 2672 2831 2983 3173 4768 5024 5344 5662 5966 6346 11324 11932 12692 22648 23393 23864 24883 25384 26219 45296 46786 47728 49766 50768 52438 90592 93572 95456 99532 101536 104876 187144 199064 209752 374288 398128 419504 444467 472777 498161 748576 796256 839008 888934 945554 996322 1777868 1891108 1992644 3555736 3782216 3906631 3985288 7111472 7564432 7813262 7970576 14222944 15128864 15626524 15941152 31253048 62506096 74225989 125012192 148451978 296903956 593807912 1187615824 2375231648