Search a number
-
+
25953928 = 23721113463
BaseRepresentation
bin110001100000…
…0011010001000
31210211121002121
41203000122020
523121011203
62324141024
7433414300
oct143003210
953747077
1025953928
1113717630
128837774
1354b9470
143638600
15242a0bd
hex18c0688

25953928 has 96 divisors (see below), whose sum is σ = 66648960. Its totient is φ = 9313920.

The previous prime is 25953919. The next prime is 25953929. The reversal of 25953928 is 82935952.

It is a happy number.

It is a cake number, because a cake can be divided into 25953928 parts by 538 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (25953929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55825 + ... + 56287.

It is an arithmetic number, because the mean of its divisors is an integer number (694260).

Almost surely, 225953928 is an apocalyptic number.

25953928 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 25953928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33324480).

25953928 is an abundant number, since it is smaller than the sum of its proper divisors (40695032).

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

25953928 is a wasteful number, since it uses less digits than its factorization.

25953928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 25953928 is about 5094.4997791736. The cubic root of 25953928 is about 296.0745186134.

The spelling of 25953928 in words is "twenty-five million, nine hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 463 539 572 616 637 728 926 1001 1078 1144 1274 1852 2002 2156 2548 3241 3704 4004 4312 5093 5096 6019 6482 7007 8008 10186 12038 12964 14014 20372 22687 24076 25928 28028 35651 40744 42133 45374 48152 56056 66209 71302 84266 90748 132418 142604 168532 181496 249557 264836 285208 294931 337064 463463 499114 529672 589862 926926 998228 1179724 1853852 1996456 2359448 3244241 3707704 6488482 12976964 25953928