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26025216 = 283747103
BaseRepresentation
bin110001101000…
…1110100000000
31210222012212220
41203101310000
523130301331
62325451040
7434132160
oct143216400
953865786
1026025216
1113766148
128870a80
135512a49
1436565a0
152441296
hex18d1d00

26025216 has 144 divisors (see below), whose sum is σ = 81629184. Its totient is φ = 7206912.

The previous prime is 26025211. The next prime is 26025217. The reversal of 26025216 is 61252062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26025211) 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, 252621 + ... + 252723.

Almost surely, 226025216 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 26025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814592).

26025216 is an abundant number, since it is smaller than the sum of its proper divisors (55603968).

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

26025216 is a wasteful number, since it uses less digits than its factorization.

26025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 26025216 is about 5101.4915465969. The cubic root of 26025216 is about 296.3453480766.

Adding to 26025216 its reverse (61252062), we get a palindrome (87277278).

The spelling of 26025216 in words is "twenty-six million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 103 112 128 141 168 188 192 206 224 256 282 309 329 336 376 384 412 448 564 618 658 672 721 752 768 824 896 987 1128 1236 1316 1344 1442 1504 1648 1792 1974 2163 2256 2472 2632 2688 2884 3008 3296 3948 4326 4512 4841 4944 5264 5376 5768 6016 6592 7896 8652 9024 9682 9888 10528 11536 12032 13184 14523 15792 17304 18048 19364 19776 21056 23072 26368 29046 31584 33887 34608 36096 38728 39552 42112 46144 58092 63168 67774 69216 77456 79104 84224 92288 101661 116184 126336 135548 138432 154912 184576 203322 232368 252672 271096 276864 309824 406644 464736 542192 553728 619648 813288 929472 1084384 1239296 1626576 1858944 2168768 3253152 3717888 4337536 6506304 8675072 13012608 26025216