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8042427224 = 23131095471297
BaseRepresentation
bin1110111110101110…
…11011001101011000
3202202111020122002222
413133113123031120
5112432330132344
63410013043212
7403204334456
oct73727331530
922674218088
108042427224
113457816677
121685486508
139b22796a0
1456418d9d6
153210cb5ee
hex1df5db358

8042427224 has 64 divisors (see below), whose sum is σ = 16431122400. Its totient is φ = 3668281344.

The previous prime is 8042427199. The next prime is 8042427257. The reversal of 8042427224 is 4227242408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6200144 + ... + 6201440.

Almost surely, 28042427224 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 8042427224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215561200).

8042427224 is an abundant number, since it is smaller than the sum of its proper divisors (8388695176).

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

8042427224 is a wasteful number, since it uses less digits than its factorization.

8042427224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 8042427224 is about 89679.5808643194. The cubic root of 8042427224 is about 2003.5293701097.

The spelling of 8042427224 in words is "eight billion, forty-two million, four hundred twenty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 547 872 1094 1297 1417 2188 2594 2834 4376 5188 5668 7111 10376 11336 14222 16861 28444 33722 56888 59623 67444 119246 134888 141373 238492 282746 476984 565492 709459 775099 1130984 1418918 1550198 1837849 2837836 3100396 3675698 5675672 6200792 7351396 9222967 14702792 18445934 36891868 73783736 77331031 154662062 309324124 618648248 1005303403 2010606806 4021213612 8042427224