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56196192 = 25313371217
BaseRepresentation
bin1101011001011…
…1110001100000
310220202001200110
43112113301200
5103341234232
65324251320
71251442203
oct326276140
9126661613
1056196192
11297a3038
12169a0b40
13b8477b0
14766b93a
154e00acc
hex3597c60

56196192 has 96 divisors (see below), whose sum is σ = 163289952. Its totient is φ = 16809984.

The previous prime is 56196181. The next prime is 56196193. The reversal of 56196192 is 29169165.

56196192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56196192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56196193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45568 + ... + 46784.

It is an arithmetic number, because the mean of its divisors is an integer number (1700937).

Almost surely, 256196192 is an apocalyptic number.

56196192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56196192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81644976).

56196192 is an abundant number, since it is smaller than the sum of its proper divisors (107093760).

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

56196192 is a wasteful number, since it uses less digits than its factorization.

56196192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 56196192 is about 7496.4119417225. The cubic root of 56196192 is about 383.0325036553.

It can be divided in two parts, 5619 and 6192, that added together give a palindrome (11811).

The spelling of 56196192 in words is "fifty-six million, one hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1217 1248 1443 1776 1924 2434 2886 3552 3651 3848 4868 5772 7302 7696 9736 11544 14604 15392 15821 19472 23088 29208 31642 38944 45029 46176 47463 58416 63284 90058 94926 116832 126568 135087 180116 189852 253136 270174 360232 379704 506272 540348 585377 720464 759408 1080696 1170754 1440928 1518816 1756131 2161392 2341508 3512262 4322784 4683016 7024524 9366032 14049048 18732064 28098096 56196192