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20250648 = 233511947
BaseRepresentation
bin100110101000…
…0000000011000
31102002211200000
41031100000120
520141010043
62002013000
7334061535
oct115200030
942084600
1020250648
1110481680
126947160
134270542
142991d8c
151ba02d3
hex1350018

20250648 has 96 divisors (see below), whose sum is σ = 62112960. Its totient is φ = 6130080.

The previous prime is 20250647. The next prime is 20250661. The reversal of 20250648 is 84605202.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20250647) 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 23 ways as a sum of consecutive naturals, for example, 20911 + ... + 21857.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 220250648 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 20250648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056480).

20250648 is an abundant number, since it is smaller than the sum of its proper divisors (41862312).

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

20250648 is a wasteful number, since it uses less digits than its factorization.

20250648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20250648 is about 4500.0719994240. The cubic root of 20250648 is about 272.5709962868.

The spelling of 20250648 in words is "twenty million, two hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 947 972 1188 1782 1894 1944 2376 2673 2841 3564 3788 5346 5682 7128 7576 8523 10417 10692 11364 17046 20834 21384 22728 25569 31251 34092 41668 51138 62502 68184 76707 83336 93753 102276 125004 153414 187506 204552 230121 250008 281259 306828 375012 460242 562518 613656 750024 843777 920484 1125036 1687554 1840968 2250072 2531331 3375108 5062662 6750216 10125324 20250648