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8442621220 = 22511315323357
BaseRepresentation
bin1111101110011100…
…00010110100100100
3210210101021121001211
413313032002310210
5114242302334340
63513430401204
7416134045015
oct76716026444
923711247054
108442621220
113642704310
121777500204
13a47158377
145a13a500c
153462cc5ea
hex1f7382d24

8442621220 has 96 divisors (see below), whose sum is σ = 20342762496. Its totient is φ = 2914828800.

The previous prime is 8442621197. The next prime is 8442621223. The reversal of 8442621220 is 221262448.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (8442621223) by changing a digit.

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, 349782 + ... + 373138.

It is an arithmetic number, because the mean of its divisors is an integer number (211903776).

Almost surely, 28442621220 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 8442621220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171381248).

8442621220 is an abundant number, since it is smaller than the sum of its proper divisors (11900141276).

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

8442621220 is a wasteful number, since it uses less digits than its factorization.

8442621220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23461 (or 23459 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 8442621220 is about 91883.7375164942. The cubic root of 8442621220 is about 2036.2250144687.

Adding to 8442621220 its reverse (221262448), we get a palindrome (8663883668).

The spelling of 8442621220 in words is "eight billion, four hundred forty-two million, six hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 53 55 62 106 110 124 155 212 220 265 310 341 530 583 620 682 1060 1166 1364 1643 1705 2332 2915 3286 3410 5830 6572 6820 8215 11660 16430 18073 23357 32860 36146 46714 72292 90365 93428 116785 180730 233570 256927 361460 467140 513854 724067 1027708 1237921 1284635 1448134 2475842 2569270 2896268 3620335 4951684 5138540 6189605 7240670 7964737 12379210 13617131 14481340 15929474 24758420 27234262 31858948 38375551 39823685 54468524 68085655 76751102 79647370 136171310 153502204 159294740 191877755 272342620 383755510 422131061 767511020 844262122 1688524244 2110655305 4221310610 8442621220