Search a number
-
+
26701248 = 263719867
BaseRepresentation
bin110010111011…
…0110111000000
31212020120020010
41211312313000
523313414443
62352144520
7442646130
oct145666700
955216203
1026701248
1114088052
128b38140
1356bb672
143790ac0
152526733
hex1976dc0

26701248 has 56 divisors (see below), whose sum is σ = 80743552. Its totient is φ = 7628544.

The previous prime is 26701243. The next prime is 26701249. The reversal of 26701248 is 84210762.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26701243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8590 + ... + 11277.

Almost surely, 226701248 is an apocalyptic number.

26701248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26701248 is an abundant number, since it is smaller than the sum of its proper divisors (54042304).

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

26701248 is a wasteful number, since it uses less digits than its factorization.

26701248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19889 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 26701248 is about 5167.3250333224. The cubic root of 26701248 is about 298.8894047787.

The spelling of 26701248 in words is "twenty-six million, seven hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 19867 39734 59601 79468 119202 139069 158936 238404 278138 317872 417207 476808 556276 635744 834414 953616 1112552 1271488 1668828 1907232 2225104 3337656 3814464 4450208 6675312 8900416 13350624 26701248