Search a number
-
+
9973952 = 261011543
BaseRepresentation
bin100110000011…
…000011000000
3200202201200122
4212003003000
510023131302
6553435412
7150530402
oct46030300
920681618
109973952
1156a263a
12340bb68
1320b2a61
141478b72
15d203a2
hex9830c0

9973952 has 28 divisors (see below), whose sum is σ = 20000976. Its totient is φ = 4934400.

The previous prime is 9973933. The next prime is 9973967. The reversal of 9973952 is 2593799.

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 5693 + ... + 7235.

Almost surely, 29973952 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 9973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000488).

9973952 is an abundant number, since it is smaller than the sum of its proper divisors (10027024).

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

9973952 is a wasteful number, since it uses less digits than its factorization.

9973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1646 counting only the distinct ones).

The product of its digits is 153090, while the sum is 44.

The square root of 9973952 is about 3158.1564242450. The cubic root of 9973952 is about 215.2562439650.

The spelling of 9973952 in words is "nine million, nine hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1543 1616 3086 3232 6172 6464 12344 24688 49376 98752 155843 311686 623372 1246744 2493488 4986976 9973952