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7925742 = 2331121213
BaseRepresentation
bin11110001110111111101110
3112220200002000
4132032333232
54012110432
6441513130
7124240056
oct36167756
915820060
107925742
114523800
1227a27a6
1318466b6
1410a4566
15a6857c
hex78efee

7925742 has 48 divisors (see below), whose sum is σ = 19375440. Its totient is φ = 2399760.

The previous prime is 7925741. The next prime is 7925759. The reversal of 7925742 is 2475297.

It is a d-powerful number, because it can be written as 7 + 95 + 29 + 53 + 78 + 46 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 7925697 and 7925706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7925741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5928 + ... + 7140.

It is an arithmetic number, because the mean of its divisors is an integer number (403655).

Almost surely, 27925742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7925742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687720).

7925742 is an abundant number, since it is smaller than the sum of its proper divisors (11449698).

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

7925742 is a wasteful number, since it uses less digits than its factorization.

7925742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 7925742 is about 2815.2694364838. The cubic root of 7925742 is about 199.3792587279.

The spelling of 7925742 in words is "seven million, nine hundred twenty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1213 2178 2426 3267 3639 6534 7278 10917 13343 21834 26686 32751 40029 65502 80058 120087 146773 240174 293546 360261 440319 720522 880638 1320957 2641914 3962871 7925742