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20749248 = 26321317163
BaseRepresentation
bin100111100100…
…1101111000000
31110001011121200
41033021233000
520302433443
62020421200
7341236302
oct117115700
943034550
1020749248
1110792243
126b47800
1343b6480
142a81972
151c4cdd3
hex13c9bc0

20749248 has 168 divisors, whose sum is σ = 68232528. Its totient is φ = 5971968.

The previous prime is 20749241. The next prime is 20749259. The reversal of 20749248 is 84294702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20749241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127215 + ... + 127377.

It is an arithmetic number, because the mean of its divisors is an integer number (406146).

Almost surely, 220749248 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 20749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34116264).

20749248 is an abundant number, since it is smaller than the sum of its proper divisors (47483280).

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

20749248 is a wasteful number, since it uses less digits than its factorization.

20749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20749248 is about 4555.1342461008. The cubic root of 20749248 is about 274.7899133741.

It can be divided in two parts, 207 and 49248, that added together give a triangular number (49455 = T314).

The spelling of 20749248 in words is "twenty million, seven hundred forty-nine thousand, two hundred forty-eight".