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7940768 = 2511171327
BaseRepresentation
bin11110010010101010100000
3112221102200112
4132102222200
54013101033
6442110452
7124331633
oct36225240
915842615
107940768
114534020
1227ab428
1318504a4
1410a9c1a
15a6cc48
hex792aa0

7940768 has 48 divisors (see below), whose sum is σ = 18071424. Its totient is φ = 3394560.

The previous prime is 7940761. The next prime is 7940771. The reversal of 7940768 is 8670497.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7940761) 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, 5321 + ... + 6647.

It is an arithmetic number, because the mean of its divisors is an integer number (376488).

Almost surely, 27940768 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 7940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035712).

7940768 is an abundant number, since it is smaller than the sum of its proper divisors (10130656).

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

7940768 is a wasteful number, since it uses less digits than its factorization.

7940768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 7940768 is about 2817.9368339266. The cubic root of 7940768 is about 199.5051767594.

The spelling of 7940768 in words is "seven million, nine hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1327 1496 2654 2992 5308 5984 10616 14597 21232 22559 29194 42464 45118 58388 90236 116776 180472 233552 248149 360944 467104 496298 721888 992596 1985192 3970384 7940768