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7981056 = 21132433
BaseRepresentation
bin11110011100100000000000
3120000110221200
4132130200000
54020343211
6443021200
7124560246
oct36344000
916013850
107981056
114561316
12280a800
131865925
1410ba796
15a79b56
hex79c800

7981056 has 72 divisors (see below), whose sum is σ = 23103990. Its totient is φ = 2654208.

The previous prime is 7981049. The next prime is 7981067. The reversal of 7981056 is 6501897.

7981056 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., 7750656 + 230400 = 2784^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7981056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18216 + ... + 18648.

Almost surely, 27981056 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 7981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551995).

7981056 is an abundant number, since it is smaller than the sum of its proper divisors (15122934).

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

7981056 is a wasteful number, since it uses less digits than its factorization.

7981056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7981056 is about 2825.0762821559. The cubic root of 7981056 is about 199.8420085597.

The spelling of 7981056 in words is "seven million, nine hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 433 512 576 768 866 1024 1152 1299 1536 1732 2048 2304 2598 3072 3464 3897 4608 5196 6144 6928 7794 9216 10392 13856 15588 18432 20784 27712 31176 41568 55424 62352 83136 110848 124704 166272 221696 249408 332544 443392 498816 665088 886784 997632 1330176 1995264 2660352 3990528 7981056