Search a number
-
+
25628736 = 263719069
BaseRepresentation
bin110000111000…
…1000001000000
31210020002000110
41201301001000
523030104421
62313151320
7430561230
oct141610100
953202013
1025628736
1113515281
1286bb540
135404443
143591cc0
1523b3a76
hex1871040

25628736 has 56 divisors (see below), whose sum is σ = 77500480. Its totient is φ = 7322112.

The previous prime is 25628719. The next prime is 25628737. The reversal of 25628736 is 63782652.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 25628694 and 25628703.

It is not an unprimeable number, because it can be changed into a prime (25628737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191 + ... + 10878.

Almost surely, 225628736 is an apocalyptic number.

It is an amenable number.

25628736 is an abundant number, since it is smaller than the sum of its proper divisors (51871744).

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

25628736 is a wasteful number, since it uses less digits than its factorization.

25628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19091 (or 19081 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 25628736 is about 5062.4831851573. The cubic root of 25628736 is about 294.8327539984.

The spelling of 25628736 in words is "twenty-five million, six hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 19069 38138 57207 76276 114414 133483 152552 228828 266966 305104 400449 457656 533932 610208 800898 915312 1067864 1220416 1601796 1830624 2135728 3203592 3661248 4271456 6407184 8542912 12814368 25628736