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9242208 = 253319563
BaseRepresentation
bin100011010000…
…011001100000
3122101112221000
4203100121200
54331222313
6530032000
7141362133
oct43203140
918345830
109242208
115242898
123118600
131bb7981
14132821a
15c28673
hex8d0660

9242208 has 96 divisors (see below), whose sum is σ = 28425600. Its totient is φ = 2913408.

The previous prime is 9242197. The next prime is 9242209. The reversal of 9242208 is 8022429.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16135 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (296100).

Almost surely, 29242208 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 9242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212800).

9242208 is an abundant number, since it is smaller than the sum of its proper divisors (19183392).

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

9242208 is a wasteful number, since it uses less digits than its factorization.

9242208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9242208 is about 3040.0999983553. The cubic root of 9242208 is about 209.8578630010.

The spelling of 9242208 in words is "nine million, two hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 563 608 684 864 912 1026 1126 1368 1689 1824 2052 2252 2736 3378 4104 4504 5067 5472 6756 8208 9008 10134 10697 13512 15201 16416 18016 20268 21394 27024 30402 32091 40536 42788 54048 60804 64182 81072 85576 96273 121608 128364 162144 171152 192546 243216 256728 288819 342304 385092 486432 513456 577638 770184 1026912 1155276 1540368 2310552 3080736 4621104 9242208