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9138528 = 253371511
BaseRepresentation
bin100010110111…
…000101100000
3122012021201000
4202313011200
54314413103
6523512000
7140450640
oct42670540
918167630
109138528
115181a03
123088600
131b7c719
1412dc520
15c07aa3
hex8b7160

9138528 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2609280.

The previous prime is 9138527. The next prime is 9138533. The reversal of 9138528 is 8258319.

It is a Cunningham number, because it is equal to 30232-1.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 9138492 and 9138501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9138523) 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, 5293 + ... + 6803.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 29138528 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 9138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

9138528 is an abundant number, since it is smaller than the sum of its proper divisors (21343392).

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

9138528 is a wasteful number, since it uses less digits than its factorization.

9138528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1523 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 9138528 is about 3022.9998346014. Note that the first 3 decimals coincide. The cubic root of 9138528 is about 209.0701747670.

The spelling of 9138528 in words is "nine million, one hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1511 1512 2016 3022 3024 4533 6044 6048 9066 10577 12088 13599 18132 21154 24176 27198 31731 36264 40797 42308 48352 54396 63462 72528 81594 84616 95193 108792 126924 145056 163188 169232 190386 217584 253848 285579 326376 338464 380772 435168 507696 571158 652752 761544 1015392 1142316 1305504 1523088 2284632 3046176 4569264 9138528