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20008248 = 2331324933
BaseRepresentation
bin100110001010…
…0110100111000
31101122112011020
41030110310320
520110230443
61552502440
7332032041
oct114246470
941575136
1020008248
1110326547
12684aa20
1341b7100
14292b8c8
151b53583
hex1314d38

20008248 has 48 divisors (see below), whose sum is σ = 54175320. Its totient is φ = 6155136.

The previous prime is 20008243. The next prime is 20008249. The reversal of 20008248 is 84280002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20008243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 6522.

Almost surely, 220008248 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 20008248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27087660).

20008248 is an abundant number, since it is smaller than the sum of its proper divisors (34167072).

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

20008248 is a wasteful number, since it uses less digits than its factorization.

20008248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20008248 is about 4473.0580143790. The cubic root of 20008248 is about 271.4790707254.

The spelling of 20008248 in words is "twenty million, eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 4933 9866 14799 19732 29598 39464 59196 64129 118392 128258 192387 256516 384774 513032 769548 833677 1539096 1667354 2501031 3334708 5002062 6669416 10004124 20008248