Search a number
-
+
56382483200 = 285267131489
BaseRepresentation
bin110100100000101010…
…000110101100000000
312101112101120220121112
4310200222012230000
51410432403430300
641522440142452
74034132125331
oct644052065400
9171471526545
1056382483200
1121a0349515a
12ab16467a28
135417155cc4
142a2c264288
1516eed80e35
hexd20a86b00

56382483200 has 108 divisors (see below), whose sum is σ = 141639450120. Its totient is φ = 22216212480.

The previous prime is 56382483137. The next prime is 56382483217. The reversal of 56382483200 is 238428365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363056 + ... + 494544.

It is an arithmetic number, because the mean of its divisors is an integer number (1311476390).

Almost surely, 256382483200 is an apocalyptic number.

56382483200 is a gapful number since it is divisible by the number (50) 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 56382483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70819725060).

56382483200 is an abundant number, since it is smaller than the sum of its proper divisors (85256966920).

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

56382483200 is a wasteful number, since it uses less digits than its factorization.

56382483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131582 (or 131563 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 56382483200 in words is "fifty-six billion, three hundred eighty-two million, four hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 128 134 160 200 256 268 320 335 400 536 640 670 800 1072 1280 1340 1600 1675 2144 2680 3200 3350 4288 5360 6400 6700 8576 10720 13400 17152 21440 26800 42880 53600 85760 107200 131489 214400 262978 428800 525956 657445 1051912 1314890 2103824 2629780 3287225 4207648 5259560 6574450 8415296 8809763 10519120 13148900 16830592 17619526 21038240 26297800 33661184 35239052 42076480 44048815 52595600 70478104 84152960 88097630 105191200 140956208 168305920 176195260 210382400 220244075 281912416 352390520 420764800 440488150 563824832 704781040 841529600 880976300 1127649664 1409562080 1761952600 2255299328 2819124160 3523905200 5638248320 7047810400 11276496640 14095620800 28191241600 56382483200