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26993088 = 263441127
BaseRepresentation
bin110011011111…
…0000111000000
31212210101120000
41212332013000
523402234323
62402320000
7445303023
oct146760700
955711500
1026993088
1114267341
129059000
135791455
1438291ba
152582e43
hex19be1c0

26993088 has 140 divisors (see below), whose sum is σ = 82612992. Its totient is φ = 8709120.

The previous prime is 26993081. The next prime is 26993089. The reversal of 26993088 is 88039962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26993081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212481 + ... + 212607.

Almost surely, 226993088 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 26993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41306496).

26993088 is an abundant number, since it is smaller than the sum of its proper divisors (55619904).

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

26993088 is a wasteful number, since it uses less digits than its factorization.

26993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 26993088 is about 5195.4872726242. The cubic root of 26993088 is about 299.9743978152.

The spelling of 26993088 in words is "twenty-six million, nine hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 127 144 162 164 192 216 246 254 288 324 328 369 381 432 492 508 576 648 656 738 762 864 984 1016 1107 1143 1296 1312 1476 1524 1728 1968 2032 2214 2286 2592 2624 2952 3048 3321 3429 3936 4064 4428 4572 5184 5207 5904 6096 6642 6858 7872 8128 8856 9144 10287 10414 11808 12192 13284 13716 15621 17712 18288 20574 20828 23616 24384 26568 27432 31242 35424 36576 41148 41656 46863 53136 54864 62484 70848 73152 82296 83312 93726 106272 109728 124968 140589 164592 166624 187452 212544 219456 249936 281178 329184 333248 374904 421767 499872 562356 658368 749808 843534 999744 1124712 1499616 1687068 2249424 2999232 3374136 4498848 6748272 8997696 13496544 26993088