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26990592 = 211323191
BaseRepresentation
bin110011011110…
…1100000000000
31212210021010120
41212331200000
523402144332
62402300240
7445262526
oct146754000
955707116
1026990592
1114265482
129057680
135790285
143828316
15258232c
hex19bd800

26990592 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 8560640.

The previous prime is 26990591. The next prime is 26990597. The reversal of 26990592 is 29509962.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26990591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141217 + ... + 141407.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 226990592 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 26990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

26990592 is an abundant number, since it is smaller than the sum of its proper divisors (48488448).

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

26990592 is a wasteful number, since it uses less digits than its factorization.

26990592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 26990592 is about 5195.2470586104. The cubic root of 26990592 is about 299.9651515077.

The spelling of 26990592 in words is "twenty-six million, nine hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 191 192 256 276 368 382 384 512 552 573 736 764 768 1024 1104 1146 1472 1528 1536 2048 2208 2292 2944 3056 3072 4393 4416 4584 5888 6112 6144 8786 8832 9168 11776 12224 13179 17572 17664 18336 23552 24448 26358 35144 35328 36672 47104 48896 52716 70288 70656 73344 97792 105432 140576 141312 146688 195584 210864 281152 293376 391168 421728 562304 586752 843456 1124608 1173504 1686912 2249216 3373824 4498432 6747648 8996864 13495296 26990592