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7940256 = 253107773
BaseRepresentation
bin11110010010100010100000
3112221101222120
4132102202200
54013042011
6442104240
7124330302
oct36224240
915841876
107940256
1145336a5
1227ab080
13185019c
1410a9972
15a6ca06
hex7928a0

7940256 has 48 divisors (see below), whose sum is σ = 21065184. Its totient is φ = 2618624.

The previous prime is 7940249. The next prime is 7940269. The reversal of 7940256 is 6520497.

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

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, 9886 + ... + 10658.

It is an arithmetic number, because the mean of its divisors is an integer number (438858).

Almost surely, 27940256 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 7940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532592).

7940256 is an abundant number, since it is smaller than the sum of its proper divisors (13124928).

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

7940256 is a wasteful number, since it uses less digits than its factorization.

7940256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7940256 is about 2817.8459858552. The cubic root of 7940256 is about 199.5008888096.

The spelling of 7940256 in words is "seven million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 773 856 1284 1546 1712 2319 2568 3092 3424 4638 5136 6184 9276 10272 12368 18552 24736 37104 74208 82711 165422 248133 330844 496266 661688 992532 1323376 1985064 2646752 3970128 7940256