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9082152 = 2333192213
BaseRepresentation
bin100010101001…
…010100101000
3122002102101000
4202221110220
54311112102
6522355000
7140124402
oct42512450
918072330
109082152
115143612
12305ba60
131b5cb71
1412c5b72
15be601c
hex8a9528

9082152 has 64 divisors (see below), whose sum is σ = 26568000. Its totient is φ = 2866752.

The previous prime is 9082127. The next prime is 9082153. The reversal of 9082152 is 2512809.

It is a super-2 number, since 2×90821522 = 164970969902208, which contains 22 as substring.

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 (9082153) 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, 2998 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (415125).

Almost surely, 29082152 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 9082152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284000).

9082152 is an abundant number, since it is smaller than the sum of its proper divisors (17485848).

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

9082152 is a wasteful number, since it uses less digits than its factorization.

9082152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9082152 is about 3013.6608966505. The cubic root of 9082152 is about 208.6393664786.

The spelling of 9082152 in words is "nine million, eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 2213 4104 4426 6639 8852 13278 17704 19917 26556 39834 42047 53112 59751 79668 84094 119502 126141 159336 168188 239004 252282 336376 378423 478008 504564 756846 1009128 1135269 1513692 2270538 3027384 4541076 9082152