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2058977286 = 233612232803
BaseRepresentation
bin111101010111001…
…1000000000000110
312022111022212212000
41322232120000012
513204044233121
6540151010130
7102011006142
oct17256300006
95274285760
102058977286
1196726a123
12495669946
1326a756972
1415764c222
15c0b62526
hex7ab98006

2058977286 has 64 divisors (see below), whose sum is σ = 4673034240. Its totient is φ = 671807520.

The previous prime is 2058977281. The next prime is 2058977311. The reversal of 2058977286 is 6827798502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058977281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 733161 + ... + 735963.

It is an arithmetic number, because the mean of its divisors is an integer number (73016160).

Almost surely, 22058977286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058977286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336517120).

2058977286 is an abundant number, since it is smaller than the sum of its proper divisors (2614056954).

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

2058977286 is a wasteful number, since it uses less digits than its factorization.

2058977286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2058977286 is about 45375.9549321003. The cubic root of 2058977286 is about 1272.1857262625.

The spelling of 2058977286 in words is "two billion, fifty-eight million, nine hundred seventy-seven thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 223 366 446 549 669 1098 1338 1647 2007 2803 3294 4014 5606 6021 8409 12042 13603 16818 25227 27206 40809 50454 75681 81618 122427 151362 170983 244854 341966 367281 512949 625069 734562 1025898 1250138 1538847 1875207 3077694 3750414 4616541 5625621 9233082 11251242 16876863 33753726 38129209 76258418 114387627 228775254 343162881 686325762 1029488643 2058977286