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20202048 = 2636433
BaseRepresentation
bin100110100010…
…0001001000000
31102000101000000
41031010021000
520132431143
62001000000
7333500046
oct115041100
942011000
1020202048
1110449109
126923000
134254399
14297c396
151b90bd3
hex1344240

20202048 has 98 divisors (see below), whose sum is σ = 60243974. Its totient is φ = 6718464.

The previous prime is 20202031. The next prime is 20202071. The reversal of 20202048 is 84020202.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 6718464 = 3672^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20202048.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 46440 + ... + 46872.

Almost surely, 220202048 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 20202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30121987).

20202048 is an abundant number, since it is smaller than the sum of its proper divisors (40041926).

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

20202048 is an frugal number, since it uses more digits than its factorization.

20202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20202048 is about 4494.6688420839. The cubic root of 20202048 is about 272.3527718001.

The spelling of 20202048 in words is "twenty million, two hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 433 486 576 648 729 864 866 972 1296 1299 1458 1728 1732 1944 2592 2598 2916 3464 3888 3897 5184 5196 5832 6928 7776 7794 10392 11664 11691 13856 15552 15588 20784 23328 23382 27712 31176 35073 41568 46656 46764 62352 70146 83136 93528 105219 124704 140292 187056 210438 249408 280584 315657 374112 420876 561168 631314 748224 841752 1122336 1262628 1683504 2244672 2525256 3367008 5050512 6734016 10101024 20202048