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1989952 = 26173159
BaseRepresentation
bin111100101110101000000
310202002200221
413211311000
51002134302
6110352424
722625416
oct7456500
93662627
101989952
11113a098
127bb714
135489b3
1439b2b6
15294937
hex1e5d40

1989952 has 56 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 890880.

The previous prime is 1989947. The next prime is 1989959. The reversal of 1989952 is 2599891.

It is a junction number, because it is equal to n+sod(n) for n = 1989899 and 1989908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33699 + ... + 33757.

21989952 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 1989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1989952 is an abundant number, since it is smaller than the sum of its proper divisors (2399168).

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

1989952 is a wasteful number, since it uses less digits than its factorization.

1989952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 58320, while the sum is 43.

The square root of 1989952 is about 1410.6565847151. The cubic root of 1989952 is about 125.7807558755.

The spelling of 1989952 in words is "one million, nine hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 59 62 64 68 118 124 136 236 248 272 472 496 527 544 944 992 1003 1054 1088 1829 1888 1984 2006 2108 3658 3776 4012 4216 7316 8024 8432 14632 16048 16864 29264 31093 32096 33728 58528 62186 64192 117056 124372 248744 497488 994976 1989952