Search a number
-
+
9262242 = 2331131503
BaseRepresentation
bin100011010101…
…010010100010
3122102120102000
4203111102202
54332342432
6530304430
7141504423
oct43252242
918376360
109262242
115256950
123128116
131bc3b22
14133164a
15c2e57c
hex8d54a2

9262242 has 64 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2710800.

The previous prime is 9262217. The next prime is 9262249. The reversal of 9262242 is 2422629.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9262249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18163 + ... + 18665.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 29262242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9262242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

9262242 is an abundant number, since it is smaller than the sum of its proper divisors (13962078).

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

9262242 is a wasteful number, since it uses less digits than its factorization.

9262242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

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

The square root of 9262242 is about 3043.3931721025. The cubic root of 9262242 is about 210.0093873355.

The spelling of 9262242 in words is "nine million, two hundred sixty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 503 558 594 682 837 1006 1023 1509 1674 2046 3018 3069 4527 5533 6138 9054 9207 11066 13581 15593 16599 18414 27162 31186 33198 46779 49797 93558 99594 140337 149391 171523 280674 298782 343046 421011 514569 842022 1029138 1543707 3087414 4631121 9262242