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2942522418 = 2311173122729
BaseRepresentation
bin1010111101100011…
…0101010000110010
321121001212121220210
42233120311100302
522011241204133
61203552244550
7132630012363
oct25730652062
97531777823
102942522418
11127aa82710
126a1540756
1337b80b734
141dcb23b6a
151234dd763
hexaf635432

2942522418 has 96 divisors (see below), whose sum is σ = 7026626880. Its totient is φ = 811852800.

The previous prime is 2942522371. The next prime is 2942522491. The reversal of 2942522418 is 8142252492.

It is a happy number.

2942522418 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076878 + ... + 1079606.

It is an arithmetic number, because the mean of its divisors is an integer number (73194030).

Almost surely, 22942522418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942522418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513313440).

2942522418 is an abundant number, since it is smaller than the sum of its proper divisors (4084104462).

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

2942522418 is a wasteful number, since it uses less digits than its factorization.

2942522418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2793 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 2942522418 is about 54245.0220573280. The cubic root of 2942522418 is about 1432.9793325999.

The spelling of 2942522418 in words is "two billion, nine hundred forty-two million, five hundred twenty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 341 374 527 561 682 961 1023 1054 1122 1581 1922 2046 2729 2883 3162 5458 5766 5797 8187 10571 11594 16337 16374 17391 21142 30019 31713 32674 34782 46393 49011 60038 63426 84599 90057 92786 98022 139179 169198 179707 180114 253797 278358 359414 507594 510323 539121 930589 1020646 1078242 1438183 1530969 1861178 2622569 2791767 2876366 3061938 4314549 5245138 5583534 7867707 8629098 15735414 15820013 28848259 31640026 44583673 47460039 57696518 86544777 89167346 94920078 133751019 173089554 267502038 490420403 980840806 1471261209 2942522418