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7945056 = 253272563
BaseRepresentation
bin11110010011101101100000
3112221122120100
4132103231200
54013220211
6442142400
7124350300
oct36235540
915848510
107945056
114537269
1227b1a00
131852422
1410ab600
15a6e156
hex793b60

7945056 has 108 divisors (see below), whose sum is σ = 26329212. Its totient is φ = 2265984.

The previous prime is 7945039. The next prime is 7945057. The reversal of 7945056 is 6505497.

7945056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 7945056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7945057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13831 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (243789).

Almost surely, 27945056 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 7945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164606).

7945056 is an abundant number, since it is smaller than the sum of its proper divisors (18384156).

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

7945056 is a wasteful number, since it uses less digits than its factorization.

7945056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7945056 is about 2818.6975715745. The cubic root of 7945056 is about 199.5410811060.

The spelling of 7945056 in words is "seven million, nine hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 563 588 672 784 882 1008 1126 1176 1568 1689 1764 2016 2252 2352 3378 3528 3941 4504 4704 5067 6756 7056 7882 9008 10134 11823 13512 14112 15764 18016 20268 23646 27024 27587 31528 35469 40536 47292 54048 55174 63056 70938 81072 82761 94584 110348 126112 141876 162144 165522 189168 220696 248283 283752 331044 378336 441392 496566 567504 662088 882784 993132 1135008 1324176 1986264 2648352 3972528 7945056