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5240427600 = 2435229150587
BaseRepresentation
bin1001110000101101…
…01001010001010000
3111112012210022020010
410320112221101100
541213022140400
62224000314520
7243601620402
oct47026512120
914465708203
105240427600
11224a0a2901
121023012a40
136568cc245
14379da8b72
1520a0e9450
hex1385a9450

5240427600 has 120 divisors (see below), whose sum is σ = 17365808160. Its totient is φ = 1349250560.

The previous prime is 5240427559. The next prime is 5240427611. The reversal of 5240427600 is 67240425.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 40494 + ... + 110093.

It is an arithmetic number, because the mean of its divisors is an integer number (144715068).

Almost surely, 25240427600 is an apocalyptic number.

5240427600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5240427600 is an abundant number, since it is smaller than the sum of its proper divisors (12125380560).

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

5240427600 is a wasteful number, since it uses less digits than its factorization.

5240427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150637 (or 150626 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 5240427600 is about 72390.7977577261. The cubic root of 5240427600 is about 1736.9563649543.

The spelling of 5240427600 in words is "five billion, two hundred forty million, four hundred twenty-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 150587 301174 451761 602348 752935 903522 1204696 1505870 1807044 2258805 2409392 3011740 3614088 3764675 4367023 4517610 6023480 7228176 7529350 8734046 9035220 11294025 12046960 13101069 15058700 17468092 18070440 21835115 22588050 26202138 30117400 34936184 36140880 43670230 45176100 52404276 60234800 65505345 69872368 87340460 90352200 104808552 109175575 131010690 174680920 180704400 209617104 218351150 262021380 327526725 349361840 436702300 524042760 655053450 873404600 1048085520 1310106900 1746809200 2620213800 5240427600