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102288468 = 223311312099
BaseRepresentation
bin1100001100011…
…00110001010100
321010110210101210
412012030301110
5202141212333
614052221420
72351303052
oct606146124
9233423353
10102288468
1152814927
122a30a870
1318265329
14d8291d2
158ea7a63
hex618cc54

102288468 has 48 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 32728800.

The previous prime is 102288427. The next prime is 102288479. The reversal of 102288468 is 864882201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47683 + ... + 49781.

It is an arithmetic number, because the mean of its divisors is an integer number (5174400).

Almost surely, 2102288468 is an apocalyptic number.

It is an amenable number.

102288468 is an abundant number, since it is smaller than the sum of its proper divisors (146082732).

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

102288468 is a wasteful number, since it uses less digits than its factorization.

102288468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 102288468 is about 10113.7761493915. The cubic root of 102288468 is about 467.6729214371.

The spelling of 102288468 in words is "one hundred two million, two hundred eighty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 131 186 262 372 393 524 786 1572 2099 4061 4198 6297 8122 8396 12183 12594 16244 24366 25188 48732 65069 130138 195207 260276 274969 390414 549938 780828 824907 1099876 1649814 3299628 8524039 17048078 25572117 34096156 51144234 102288468