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26640432 = 243271319107
BaseRepresentation
bin110010110100…
…0000000110000
31212010110210200
41211220000300
523304443212
62350555200
7442303620
oct145500060
955113720
1026640432
1114046395
128b08b00
135699a90
143776880
1525136dc
hex1968030

26640432 has 240 divisors, whose sum is σ = 97493760. Its totient is φ = 6594048.

The previous prime is 26640403. The next prime is 26640437. The reversal of 26640432 is 23404662.

It is a junction number, because it is equal to n+sod(n) for n = 26640396 and 26640405.

It is not an unprimeable number, because it can be changed into a prime (26640437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248923 + ... + 249029.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 226640432 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 26640432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

26640432 is an abundant number, since it is smaller than the sum of its proper divisors (70853328).

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

26640432 is a wasteful number, since it uses less digits than its factorization.

26640432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 26640432 is about 5161.4370092059. The cubic root of 26640432 is about 298.6623108244.

It can be divided in two parts, 26640 and 432, that added together give a palindrome (27072).

The spelling of 26640432 in words is "twenty-six million, six hundred forty thousand, four hundred thirty-two".