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26026272 = 25353347
BaseRepresentation
bin110001101001…
…0000100100000
31210222021100000
41203102010200
523130320042
62325500000
7434135226
oct143220440
953867300
1026026272
1113766a18
128871600
13551337c
143656b16
15244174c
hex18d2120

26026272 has 72 divisors (see below), whose sum is σ = 76776336. Its totient is φ = 8672832.

The previous prime is 26026249. The next prime is 26026283. The reversal of 26026272 is 27262062.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6103 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 226026272 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 26026272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388168).

26026272 is an abundant number, since it is smaller than the sum of its proper divisors (50750064).

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

26026272 is an equidigital number, since it uses as much as digits as its factorization.

26026272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26026272 is about 5101.5950446895. The cubic root of 26026272 is about 296.3493561951.

The spelling of 26026272 in words is "twenty-six million, twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3347 3888 6694 7776 10041 13388 20082 26776 30123 40164 53552 60246 80328 90369 107104 120492 160656 180738 240984 271107 321312 361476 481968 542214 722952 813321 963936 1084428 1445904 1626642 2168856 2891808 3253284 4337712 6506568 8675424 13013136 26026272