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4523187820 = 2252361331487
BaseRepresentation
bin1000011011001101…
…00101111001101100
3102200020011202012211
410031212211321230
533230414002240
62024455340204
7220042314334
oct41546457154
912606152184
104523187820
111a11248a58
12a62981664
13571134bc8
1430ca240c4
151b716dbea
hex10d9a5e6c

4523187820 has 96 divisors (see below), whose sum is σ = 10125351936. Its totient is φ = 1693612800.

The previous prime is 4523187817. The next prime is 4523187847. The reversal of 4523187820 is 287813254.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 9287617 + ... + 9288103.

It is an arithmetic number, because the mean of its divisors is an integer number (105472416).

Almost surely, 24523187820 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 4523187820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062675968).

4523187820 is an abundant number, since it is smaller than the sum of its proper divisors (5602164116).

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

4523187820 is a wasteful number, since it uses less digits than its factorization.

4523187820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 4523187820 is about 67254.6490586339. The cubic root of 4523187820 is about 1653.7944896864.

The spelling of 4523187820 in words is "four billion, five hundred twenty-three million, one hundred eighty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 331 460 487 610 662 974 1220 1324 1403 1655 1948 2435 2806 3310 4870 5612 6620 7015 7613 9740 11201 14030 15226 20191 22402 28060 29707 30452 38065 40382 44804 56005 59414 76130 80764 100955 112010 118828 148535 152260 161197 201910 224020 297070 322394 403820 464393 594140 644788 683261 805985 928786 1366522 1611970 1857572 2321965 2733044 3223940 3416305 3707531 4643930 6832610 7415062 9287860 9833017 13665220 14830124 18537655 19666034 37075310 39332068 49165085 74150620 98330170 196660340 226159391 452318782 904637564 1130796955 2261593910 4523187820