Search a number
-
+
25116672 = 2143773
BaseRepresentation
bin101111111010…
…0000000000000
31202021001121010
41133310000000
522412213142
62254200520
7423326310
oct137640000
952231533
1025116672
11131a5589
1284b3140
135285349
14349b440
152311e9c
hex17f4000

25116672 has 120 divisors (see below), whose sum is σ = 77592256. Its totient is φ = 7077888.

The previous prime is 25116649. The next prime is 25116677. The reversal of 25116672 is 27661152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25116677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344028 + ... + 344100.

Almost surely, 225116672 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 25116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38796128).

25116672 is an abundant number, since it is smaller than the sum of its proper divisors (52475584).

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

25116672 is an frugal number, since it uses more digits than its factorization.

25116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 25116672 is about 5011.6536193157. The cubic root of 25116672 is about 292.8559360422.

The spelling of 25116672 in words is "twenty-five million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 256 292 336 384 438 448 511 512 584 672 768 876 896 1022 1024 1168 1344 1533 1536 1752 1792 2044 2048 2336 2688 3066 3072 3504 3584 4088 4096 4672 5376 6132 6144 7008 7168 8176 8192 9344 10752 12264 12288 14016 14336 16352 16384 18688 21504 24528 24576 28032 28672 32704 37376 43008 49056 49152 56064 57344 65408 74752 86016 98112 112128 114688 130816 149504 172032 196224 224256 261632 299008 344064 392448 448512 523264 598016 784896 897024 1046528 1196032 1569792 1794048 2093056 3139584 3588096 4186112 6279168 8372224 12558336 25116672