Search a number
-
+
26956864 = 26112592
BaseRepresentation
bin110011011010…
…1010001000000
31212201112212101
41212311101000
523400104424
62401440144
7445062304
oct146652100
955645771
1026956864
1114242100
129040054
13577ab0c
143819d04
152577344
hex19b5440

26956864 has 63 divisors (see below), whose sum is σ = 59811031. Its totient is φ = 12045440.

The previous prime is 26956859. The next prime is 26956871. The reversal of 26956864 is 46865962.

26956864 = T431 + T432 + ... + T622.

The square root of 26956864 is 5192.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (622080) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456867 + ... + 456925.

Almost surely, 226956864 is an apocalyptic number.

26956864 is the 5192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26956864

26956864 is an abundant number, since it is smaller than the sum of its proper divisors (32854167).

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

26956864 is an equidigital number, since it uses as much as digits as its factorization.

26956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The cubic root of 26956864 is about 299.8401518808.

It can be divided in two parts, 2695 and 6864, that added together give a palindrome (9559).

The spelling of 26956864 in words is "twenty-six million, nine hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 121 176 236 242 352 472 484 649 704 944 968 1298 1888 1936 2596 3481 3776 3872 5192 6962 7139 7744 10384 13924 14278 20768 27848 28556 38291 41536 55696 57112 76582 111392 114224 153164 222784 228448 306328 421201 456896 612656 842402 1225312 1684804 2450624 3369608 6739216 13478432 26956864