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9981952 = 2122437
BaseRepresentation
bin100110000101…
…000000000000
3200210010122221
4212011000000
510023410302
6553540424
7150562621
oct46050000
920703587
109981952
1156a8652
123414714
1320b65a6
14147ba48
15d22937
hex985000

9981952 has 26 divisors (see below), whose sum is σ = 19969658. Its totient is φ = 4988928.

The previous prime is 9981943. The next prime is 9982051. The reversal of 9981952 is 2591899.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 147456 = 3136^2 + 384^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9981899 and 9981908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2878 + ... + 5314.

Almost surely, 29981952 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 9981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9984829).

9981952 is an abundant number, since it is smaller than the sum of its proper divisors (9987706).

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

9981952 is an equidigital number, since it uses as much as digits as its factorization.

9981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2439 counting only the distinct ones).

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

The square root of 9981952 is about 3159.4227320826. The cubic root of 9981952 is about 215.3137801601.

The spelling of 9981952 in words is "nine million, nine hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2437 4096 4874 9748 19496 38992 77984 155968 311936 623872 1247744 2495488 4990976 9981952