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26352640 = 21055147
BaseRepresentation
bin110010010000…
…1110000000000
31211120212000201
41210201300000
523221241030
62340454544
7436664566
oct144416000
954525021
1026352640
111396a146
1289aa454
1355c8aa2
1436dda36
1524a82ca
hex1921c00

26352640 has 44 divisors (see below), whose sum is σ = 63227736. Its totient is φ = 10539008.

The previous prime is 26352611. The next prime is 26352643. The reversal of 26352640 is 4625362.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26352599 and 26352608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26352643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2547 + ... + 7693.

It is an arithmetic number, because the mean of its divisors is an integer number (1436994).

Almost surely, 226352640 is an apocalyptic number.

26352640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31613868).

26352640 is an abundant number, since it is smaller than the sum of its proper divisors (36875096).

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

26352640 is an equidigital number, since it uses as much as digits as its factorization.

26352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 26352640 is about 5133.4822489223. The cubic root of 26352640 is about 297.5829488824.

The spelling of 26352640 in words is "twenty-six million, three hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 5147 10294 20588 25735 41176 51470 82352 102940 164704 205880 329408 411760 658816 823520 1317632 1647040 2635264 3294080 5270528 6588160 13176320 26352640