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258471516 = 223192322143
BaseRepresentation
bin11110110011111…
…11011001011100
3200000100201021010
433121333121130
51012132042031
641351535220
76255654162
oct1731773134
9600321233
10258471516
1112299a526
127268a510
134171a634
1426483232
1517a59246
hexf67f65c

258471516 has 72 divisors (see below), whose sum is σ = 663953920. Its totient is φ = 78037344.

The previous prime is 258471511. The next prime is 258471527. The reversal of 258471516 is 615174852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258471511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119541 + ... + 121683.

Almost surely, 2258471516 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 258471516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331976960).

258471516 is an abundant number, since it is smaller than the sum of its proper divisors (405482404).

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

258471516 is a wasteful number, since it uses less digits than its factorization.

258471516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2190 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 258471516 is about 16077.0493561474. The cubic root of 258471516 is about 636.9972586912.

The spelling of 258471516 in words is "two hundred fifty-eight million, four hundred seventy-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 529 874 1058 1311 1587 1748 2116 2143 2622 3174 4286 5244 6348 6429 8572 10051 12858 20102 25716 30153 40204 40717 49289 60306 81434 98578 120612 122151 147867 162868 197156 244302 295734 488604 591468 936491 1133647 1872982 2267294 2809473 3400941 3745964 4534588 5618946 6801882 11237892 13603764 21539293 43078586 64617879 86157172 129235758 258471516