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20447952 = 2437193203
BaseRepresentation
bin100111000000…
…0001011010000
31102110212022120
41032000023100
520213313302
62010134240
7335543010
oct116001320
942425276
1020447952
11105a6938
126a21380
13430c2a5
142a03c40
151bdd9bc
hex13802d0

20447952 has 80 divisors (see below), whose sum is σ = 63567360. Its totient is φ = 5533056.

The previous prime is 20447951. The next prime is 20447953. The reversal of 20447952 is 25974402.

It is an interprime number because it is at equal distance from previous prime (20447951) and next prime (20447953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20447951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4783 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (794592).

Almost surely, 220447952 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 20447952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783680).

20447952 is an abundant number, since it is smaller than the sum of its proper divisors (43119408).

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

20447952 is a wasteful number, since it uses less digits than its factorization.

20447952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 20447952 is about 4521.9411760880. The cubic root of 20447952 is about 273.4533652204.

The spelling of 20447952 in words is "twenty million, four hundred forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 3203 6384 6406 9609 12812 19218 22421 25624 38436 44842 51248 60857 67263 76872 89684 121714 134526 153744 179368 182571 243428 269052 358736 365142 425999 486856 538104 730284 851998 973712 1076208 1277997 1460568 1703996 2555994 2921136 3407992 5111988 6815984 10223976 20447952