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9242064 = 2432134937
BaseRepresentation
bin100011010000…
…010111010000
3122101112201200
4203100113100
54331221224
6530031200
7141361536
oct43202720
918345650
109242064
115242777
123118500
131bb78a0
141328156
15c285c9
hex8d05d0

9242064 has 60 divisors (see below), whose sum is σ = 27860196. Its totient is φ = 2843136.

The previous prime is 9242059. The next prime is 9242069. The reversal of 9242064 is 4602429.

It is an interprime number because it is at equal distance from previous prime (9242059) and next prime (9242069).

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 6656400 = 1608^2 + 2580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242069) 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, 597 + ... + 4340.

Almost surely, 29242064 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 9242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930098).

9242064 is an abundant number, since it is smaller than the sum of its proper divisors (18618132).

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

9242064 is a wasteful number, since it uses less digits than its factorization.

9242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9242064 is about 3040.0763148316. The cubic root of 9242064 is about 209.8567730850.

It can be divided in two parts, 9 and 242064, that multiplied together give a square (2178576 = 14762).

The spelling of 9242064 in words is "nine million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 4937 9874 14811 19748 29622 39496 44433 59244 64181 78992 88866 118488 128362 177732 192543 236976 256724 355464 385086 513448 577629 710928 770172 1026896 1155258 1540344 2310516 3080688 4621032 9242064