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9801144 = 2332197691
BaseRepresentation
bin100101011000…
…110110111000
3200102221122100
4211120312320
510002114034
6550023400
7146210523
oct45306670
920387570
109801144
115594821
123347b60
1320521c2
141431bba
15cd9099
hex958db8

9801144 has 48 divisors (see below), whose sum is σ = 26718120. Its totient is φ = 3245760.

The previous prime is 9801137. The next prime is 9801149. The reversal of 9801144 is 4411089.

9801144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9801149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13839 + ... + 14529.

Almost surely, 29801144 is an apocalyptic number.

It is an amenable number.

9801144 is an abundant number, since it is smaller than the sum of its proper divisors (16916976).

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

9801144 is a wasteful number, since it uses less digits than its factorization.

9801144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9801144 is about 3130.6778818652. The cubic root of 9801144 is about 214.0058227664.

It can be divided in two parts, 9801 and 144, that multiplied together give a square (1411344 = 11882).

The spelling of 9801144 in words is "nine million, eight hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 691 788 1182 1382 1576 1773 2073 2364 2764 3546 4146 4728 5528 6219 7092 8292 12438 14184 16584 24876 49752 136127 272254 408381 544508 816762 1089016 1225143 1633524 2450286 3267048 4900572 9801144