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9289072 = 2413173771
BaseRepresentation
bin100011011011…
…110101110000
3122110221012201
4203123311300
54334222242
6531032544
7141645562
oct43336560
918427181
109289072
115275021
12313b754
131c030c0
14133b332
15c374b7
hex8dbd70

9289072 has 80 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 3870720.

The previous prime is 9289069. The next prime is 9289073. The reversal of 9289072 is 2709829.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9289073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130797 + ... + 130867.

Almost surely, 29289072 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 9289072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

9289072 is an abundant number, since it is smaller than the sum of its proper divisors (12084560).

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

9289072 is a wasteful number, since it uses less digits than its factorization.

9289072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 9289072 is about 3047.7978935618. The cubic root of 9289072 is about 210.2119703981.

It can be divided in two parts, 928 and 9072, that added together give a 4-th power (10000 = 104).

The spelling of 9289072 in words is "nine million, two hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 71 74 104 136 142 148 208 221 272 284 296 442 481 568 592 629 884 923 962 1136 1207 1258 1768 1846 1924 2414 2516 2627 3536 3692 3848 4828 5032 5254 7384 7696 8177 9656 10064 10508 14768 15691 16354 19312 21016 31382 32708 34151 42032 44659 62764 65416 68302 89318 125528 130832 136604 178636 251056 273208 357272 546416 580567 714544 1161134 2322268 4644536 9289072