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56199680 = 29529757
BaseRepresentation
bin1101011001100…
…0101000000000
310220202020110122
43112120220000
5103341342210
65324315412
71251455315
oct326305000
9126666418
1056199680
11297a5719
12169a2b68
13b849264
14766cd0c
154e01b55
hex3598a00

56199680 has 80 divisors (see below), whose sum is σ = 139578120. Its totient is φ = 21676032.

The previous prime is 56199679. The next prime is 56199691. The reversal of 56199680 is 8699165.

It can be written as a sum of positive squares in 4 ways, for example, as 47997184 + 8202496 = 6928^2 + 2864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 73862 + ... + 74618.

Almost surely, 256199680 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 56199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69789060).

56199680 is an abundant number, since it is smaller than the sum of its proper divisors (83378440).

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

56199680 is an equidigital number, since it uses as much as digits as its factorization.

56199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 56199680 is about 7496.6445827450. The cubic root of 56199680 is about 383.0404282120.

The spelling of 56199680 in words is "fifty-six million, one hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 757 928 1160 1280 1514 1856 2320 2560 3028 3712 3785 4640 6056 7424 7570 9280 12112 14848 15140 18560 21953 24224 30280 37120 43906 48448 60560 74240 87812 96896 109765 121120 175624 193792 219530 242240 351248 387584 439060 484480 702496 878120 968960 1404992 1756240 1937920 2809984 3512480 5619968 7024960 11239936 14049920 28099840 56199680