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7138528 = 251959199
BaseRepresentation
bin11011001110110011100000
3111102200012221
4123032303200
53311413103
6413000424
7114451015
oct33166340
914380187
107138528
114036311
122483114
13162c2a7
14d3b70c
159601bd
hex6cece0

7138528 has 48 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 3307392.

The previous prime is 7138513. The next prime is 7138541. The reversal of 7138528 is 8258317.

It is a junction number, because it is equal to n+sod(n) for n = 7138493 and 7138502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35773 + ... + 35971.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 27138528 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 7138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

7138528 is an abundant number, since it is smaller than the sum of its proper divisors (7981472).

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

7138528 is a wasteful number, since it uses less digits than its factorization.

7138528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 7138528 is about 2671.8023879022. The cubic root of 7138528 is about 192.5467632497.

The spelling of 7138528 in words is "seven million, one hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 199 236 304 398 472 608 796 944 1121 1592 1888 2242 3184 3781 4484 6368 7562 8968 11741 15124 17936 23482 30248 35872 46964 60496 93928 120992 187856 223079 375712 446158 892316 1784632 3569264 7138528