Search a number
-
+
25677568 = 28722389
BaseRepresentation
bin110000111110…
…0111100000000
31210022120000001
41201330330000
523033140233
62314205344
7431153500
oct141747400
953276001
1025677568
1113548a34
128723854
135420737
1435a5a00
1523c327d
hex187cf00

25677568 has 108 divisors (see below), whose sum is σ = 62914320. Its totient is φ = 10407936.

The previous prime is 25677529. The next prime is 25677601. The reversal of 25677568 is 86577652.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288468 + ... + 288556.

It is an arithmetic number, because the mean of its divisors is an integer number (582540).

Almost surely, 225677568 is an apocalyptic number.

25677568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457160).

25677568 is an abundant number, since it is smaller than the sum of its proper divisors (37236752).

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

25677568 is an equidigital number, since it uses as much as digits as its factorization.

25677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 25677568 is about 5067.3038195869. The cubic root of 25677568 is about 295.0198894949.

The spelling of 25677568 in words is "twenty-five million, six hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 89 92 98 112 128 161 178 184 196 224 256 322 356 368 392 448 623 644 712 736 784 896 1127 1246 1288 1424 1472 1568 1792 2047 2254 2492 2576 2848 2944 3136 4094 4361 4508 4984 5152 5696 5888 6272 8188 8722 9016 9968 10304 11392 12544 14329 16376 17444 18032 19936 20608 22784 28658 32752 34888 36064 39872 41216 57316 65504 69776 72128 79744 100303 114632 131008 139552 144256 159488 200606 229264 262016 279104 288512 401212 458528 524032 558208 802424 917056 1116416 1604848 1834112 3209696 3668224 6419392 12838784 25677568