Search a number
-
+
26668896 = 253833347
BaseRepresentation
bin110010110111…
…0111101100000
31212011220211220
41211232331200
523311401041
62351335040
7442452612
oct145567540
955156756
1026668896
1114065811
128b21480
1356a9a17
143782db2
15251bd66
hex196ef60

26668896 has 48 divisors (see below), whose sum is σ = 70870464. Its totient is φ = 8779904.

The previous prime is 26668883. The next prime is 26668907. The reversal of 26668896 is 69886662.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×266688962 = 1422460027717632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6295 + ... + 9641.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 226668896 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 26668896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35435232).

26668896 is an abundant number, since it is smaller than the sum of its proper divisors (44201568).

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

26668896 is a wasteful number, since it uses less digits than its factorization.

26668896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3435 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 26668896 is about 5164.1936447039. The cubic root of 26668896 is about 298.7686416593.

It can be divided in two parts, 2666889 and 6, that added together give a triangular number (2666895 = T2309).

The spelling of 26668896 in words is "twenty-six million, six hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3347 3984 6694 7968 10041 13388 20082 26776 40164 53552 80328 107104 160656 277801 321312 555602 833403 1111204 1666806 2222408 3333612 4444816 6667224 8889632 13334448 26668896