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5326948300 = 22521719831987
BaseRepresentation
bin1001111011000001…
…01100011111001100
3111202020121000022111
410331200230133030
541402144321200
62240330553404
7246002212342
oct47540543714
914666530274
105326948300
112293a18113
121047b98864
1366b80361b
1438768b992
152129da0ba
hex13d82c7cc

5326948300 has 144 divisors (see below), whose sum is σ = 13045415040. Its totient is φ = 1876055040.

The previous prime is 5326948279. The next prime is 5326948343. The reversal of 5326948300 is 38496235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2679907 + ... + 2681893.

It is an arithmetic number, because the mean of its divisors is an integer number (90593160).

Almost surely, 25326948300 is an apocalyptic number.

5326948300 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 5326948300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522707520).

5326948300 is an abundant number, since it is smaller than the sum of its proper divisors (7718466740).

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

5326948300 is a wasteful number, since it uses less digits than its factorization.

5326948300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 5326948300 is about 72985.9459074143. The cubic root of 5326948300 is about 1746.4634209992.

The spelling of 5326948300 in words is "five billion, three hundred twenty-six million, nine hundred forty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 83 85 95 100 166 170 190 323 332 340 380 415 425 475 646 830 850 950 1292 1411 1577 1615 1660 1700 1900 1987 2075 2822 3154 3230 3974 4150 5644 6308 6460 7055 7885 7948 8075 8300 9935 14110 15770 16150 19870 26809 28220 31540 32300 33779 35275 37753 39425 39740 49675 53618 67558 70550 75506 78850 99350 107236 134045 135116 141100 151012 157700 164921 168895 188765 198700 268090 329842 337790 377530 536180 641801 659684 670225 675580 755060 824605 844475 943825 1283602 1340450 1649210 1688950 1887650 2567204 2680900 2803657 3133499 3209005 3298420 3377900 3775300 4123025 5607314 6266998 6418010 8246050 11214628 12533996 12836020 14018285 15667495 16045025 16492100 28036570 31334990 32090050 53269483 56073140 62669980 64180100 70091425 78337475 106538966 140182850 156674950 213077932 266347415 280365700 313349900 532694830 1065389660 1331737075 2663474150 5326948300