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56303040 = 2635223263
BaseRepresentation
bin1101011011000…
…1110111000000
310220221111020210
43112301313000
5103403144130
65330434120
71252365543
oct326616700
9126844223
1056303040
1129866342
1216a32940
13b884311
14769885a
154e225b0
hex35b1dc0

56303040 has 112 divisors (see below), whose sum is σ = 180246528. Its totient is φ = 14889984.

The previous prime is 56303021. The next prime is 56303059. The reversal of 56303040 is 4030365.

56303040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56303021) and next prime (56303059).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 56302998 and 56303016.

It is a congruent number.

It is an unprimeable number.

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, 213949 + ... + 214211.

It is an arithmetic number, because the mean of its divisors is an integer number (1609344).

Almost surely, 256303040 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 56303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90123264).

56303040 is an abundant number, since it is smaller than the sum of its proper divisors (123943488).

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

56303040 is a wasteful number, since it uses less digits than its factorization.

56303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 56303040 is about 7503.5351668397. The cubic root of 56303040 is about 383.2751081487.

The spelling of 56303040 in words is "fifty-six million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 223 240 263 320 446 480 526 669 789 892 960 1052 1115 1315 1338 1578 1784 2104 2230 2630 2676 3156 3345 3568 3945 4208 4460 5260 5352 6312 6690 7136 7890 8416 8920 10520 10704 12624 13380 14272 15780 16832 17840 21040 21408 25248 26760 31560 35680 42080 42816 50496 53520 58649 63120 71360 84160 107040 117298 126240 175947 214080 234596 252480 293245 351894 469192 586490 703788 879735 938384 1172980 1407576 1759470 1876768 2345960 2815152 3518940 3753536 4691920 5630304 7037880 9383840 11260608 14075760 18767680 28151520 56303040