Search a number
-
+
26732928 = 273431619
BaseRepresentation
bin110010111111…
…0100110000000
31212022011200110
41211332212000
523320423203
62352551320
7443140365
oct145764600
955264613
1026732928
11140a9932
128b52540
1356ccc01
14379c46c
152530d03
hex197e980

26732928 has 64 divisors (see below), whose sum is σ = 72705600. Its totient is φ = 8698368.

The previous prime is 26732921. The next prime is 26732977. The reversal of 26732928 is 82923762.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26732921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15703 + ... + 17321.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 226732928 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 26732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352800).

26732928 is an abundant number, since it is smaller than the sum of its proper divisors (45972672).

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

26732928 is a wasteful number, since it uses less digits than its factorization.

26732928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1667 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 26732928 is about 5170.3895404505. The cubic root of 26732928 is about 299.0075649738.

The spelling of 26732928 in words is "twenty-six million, seven hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 1619 2064 2752 3238 4128 4857 5504 6476 8256 9714 12952 16512 19428 25904 38856 51808 69617 77712 103616 139234 155424 207232 208851 278468 310848 417702 556936 621696 835404 1113872 1670808 2227744 3341616 4455488 6683232 8910976 13366464 26732928