[go: up one dir, main page]

Search a number
-
+
9986472 = 2332532617
BaseRepresentation
bin100110000110…
…000110101000
3200210100212100
4212012012220
510024031342
6554013400
7150612036
oct46060650
920710770
109986472
115700a91
123417260
1320b8672
14147d556
15d23e4c
hex9861a8

9986472 has 48 divisors (see below), whose sum is σ = 27567540. Its totient is φ = 3264768.

The previous prime is 9986467. The next prime is 9986479. The reversal of 9986472 is 2746899.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8259876 + 1726596 = 2874^2 + 1314^2 .

It is not an unprimeable number, because it can be changed into a prime (9986479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2508 + ... + 5124.

Almost surely, 29986472 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 9986472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783770).

9986472 is an abundant number, since it is smaller than the sum of its proper divisors (17581068).

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

9986472 is a wasteful number, since it uses less digits than its factorization.

9986472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9986472 is about 3160.1379716715. The cubic root of 9986472 is about 215.3462745201.

The spelling of 9986472 in words is "nine million, nine hundred eighty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2617 3816 5234 7851 10468 15702 20936 23553 31404 47106 62808 94212 138701 188424 277402 416103 554804 832206 1109608 1248309 1664412 2496618 3328824 4993236 9986472