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26379072 = 2632411117
BaseRepresentation
bin110010010100…
…0001101000000
31211122012021200
41210220031000
523223112242
62341221200
7440134626
oct144501500
954565250
1026379072
1113987a95
128a01800
135607b25
143709516
1524b104c
hex1928340

26379072 has 84 divisors (see below), whose sum is σ = 77524356. Its totient is φ = 8570880.

The previous prime is 26379037. The next prime is 26379097. The reversal of 26379072 is 27097362.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 25160256 = 1104^2 + 5016^2 .

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

It is a congruent number.

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, 23058 + ... + 24174.

It is an arithmetic number, because the mean of its divisors is an integer number (922909).

Almost surely, 226379072 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 26379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38762178).

26379072 is an abundant number, since it is smaller than the sum of its proper divisors (51145284).

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

26379072 is a wasteful number, since it uses less digits than its factorization.

26379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 26379072 is about 5136.0560744602. The cubic root of 26379072 is about 297.6824086730.

The spelling of 26379072 in words is "twenty-six million, three hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1117 1312 1476 1968 2234 2624 2952 3351 3936 4468 5904 6702 7872 8936 10053 11808 13404 17872 20106 23616 26808 35744 40212 45797 53616 71488 80424 91594 107232 137391 160848 183188 214464 274782 321696 366376 412173 549564 643392 732752 824346 1099128 1465504 1648692 2198256 2931008 3297384 4396512 6594768 8793024 13189536 26379072