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20879488 = 27723329
BaseRepresentation
bin100111110100…
…1100010000000
31110021210021101
41033221202000
520321120423
62023304144
7342321100
oct117514200
943253241
1020879488
1110871083
126bab054
134430836
142ab7200
151c767ad
hex13e9880

20879488 has 48 divisors (see below), whose sum is σ = 48401550. Its totient is φ = 8945664.

The previous prime is 20879483. The next prime is 20879491. The reversal of 20879488 is 88497802.

It can be written as a sum of positive squares in only one way, i.e., 18593344 + 2286144 = 4312^2 + 1512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879483) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4608 + ... + 7936.

Almost surely, 220879488 is an apocalyptic number.

20879488 is a gapful number since it is divisible by the number (28) 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 20879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200775).

20879488 is an abundant number, since it is smaller than the sum of its proper divisors (27522062).

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

20879488 is an equidigital number, since it uses as much as digits as its factorization.

20879488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 20879488 is about 4569.4078390969. The cubic root of 20879488 is about 275.3636533369.

The spelling of 20879488 in words is "twenty million, eight hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 3329 6272 6658 13316 23303 26632 46606 53264 93212 106528 163121 186424 213056 326242 372848 426112 652484 745696 1304968 1491392 2609936 2982784 5219872 10439744 20879488