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7025952 = 253163449
BaseRepresentation
bin11010110011010100100000
3111012221210110
4122303110200
53244312302
6410331320
7113501553
oct32632440
914187713
107025952
113a6977a
122429b40
1315bcc8b
14d0c69a
1593bb6c
hex6b3520

7025952 has 48 divisors (see below), whose sum is σ = 18597600. Its totient is φ = 2322432.

The previous prime is 7025903. The next prime is 7025957. The reversal of 7025952 is 2595207.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×70259523 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7025957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15424 + ... + 15872.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 27025952 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 7025952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298800).

7025952 is an abundant number, since it is smaller than the sum of its proper divisors (11571648).

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

7025952 is a wasteful number, since it uses less digits than its factorization.

7025952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 7025952 is about 2650.6512407331. The cubic root of 7025952 is about 191.5292285872.

The spelling of 7025952 in words is "seven million, twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 449 489 652 898 978 1304 1347 1796 1956 2608 2694 3592 3912 5216 5388 7184 7824 10776 14368 15648 21552 43104 73187 146374 219561 292748 439122 585496 878244 1170992 1756488 2341984 3512976 7025952