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26665056 = 25321119443
BaseRepresentation
bin110010110111…
…0000001100000
31212011201120200
41211232001200
523311240211
62351305200
7442435455
oct145560140
955151520
1026665056
1114062940
128b1b200
1356a8052
14378182c
15251ab56
hex196e060

26665056 has 144 divisors (see below), whose sum is σ = 87272640. Its totient is φ = 7637760.

The previous prime is 26665043. The next prime is 26665081. The reversal of 26665056 is 65056662.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×266650562 = 1422050422966272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26665056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59971 + ... + 60413.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 226665056 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 26665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636320).

26665056 is an abundant number, since it is smaller than the sum of its proper divisors (60607584).

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

26665056 is a wasteful number, since it uses less digits than its factorization.

26665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 26665056 is about 5163.8218404589. The cubic root of 26665056 is about 298.7543012750.

The spelling of 26665056 in words is "twenty-six million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 443 456 528 608 627 684 792 836 886 912 1056 1254 1329 1368 1584 1672 1772 1824 1881 2508 2658 2736 3168 3344 3544 3762 3987 4873 5016 5316 5472 6688 7088 7524 7974 8417 9746 10032 10632 14176 14619 15048 15948 16834 19492 20064 21264 25251 29238 30096 31896 33668 38984 42528 43857 50502 58476 60192 63792 67336 75753 77968 87714 92587 101004 116952 127584 134672 151506 155936 175428 185174 202008 233904 269344 277761 303012 350856 370348 404016 467808 555522 606024 701712 740696 808032 833283 1111044 1212048 1403424 1481392 1666566 2222088 2424096 2962784 3333132 4444176 6666264 8888352 13332528 26665056