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7742016 = 263213441
BaseRepresentation
bin11101100010001001000000
3112120100001100
4131202021000
53440221031
6433534400
7122543322
oct35421100
915510040
107742016
114408767
122714400
1317b0b99
141057612
15a2dde6
hex762240

7742016 has 42 divisors (see below), whose sum is σ = 22192742. Its totient is φ = 2580480.

The previous prime is 7742003. The next prime is 7742017. The reversal of 7742016 is 6102477.

7742016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 2433600 = 2304^2 + 1560^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6145 + ... + 7296.

Almost surely, 27742016 is an apocalyptic number.

It is an amenable number.

7742016 is an abundant number, since it is smaller than the sum of its proper divisors (14450726).

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

7742016 is a wasteful number, since it uses less digits than its factorization.

7742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13459 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7742016 is about 2782.4478431769. The cubic root of 7742016 is about 197.8266005612.

The spelling of 7742016 in words is "seven million, seven hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 13441 26882 40323 53764 80646 107528 120969 161292 215056 241938 322584 430112 483876 645168 860224 967752 1290336 1935504 2580672 3871008 7742016