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102417448 = 23721913751
BaseRepresentation
bin1100001101011…
…00010000101000
321010201100022211
412012230100220
5202204324243
614055054504
72352351100
oct606542050
9233640284
10102417448
11528a2821
122a371434
13182abc53
14d860200
158ed0d9d
hex61ac428

102417448 has 48 divisors (see below), whose sum is σ = 235159200. Its totient is φ = 41580000.

The previous prime is 102417439. The next prime is 102417449. The reversal of 102417448 is 844714201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102417449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573 + ... + 14323.

It is an arithmetic number, because the mean of its divisors is an integer number (4899150).

Almost surely, 2102417448 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 102417448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117579600).

102417448 is an abundant number, since it is smaller than the sum of its proper divisors (132741752).

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

102417448 is a wasteful number, since it uses less digits than its factorization.

102417448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13779 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 102417448 is about 10120.1505917649. The cubic root of 102417448 is about 467.8694086162.

It can be divided in two parts, 10241 and 7448, that added together give a square (17689 = 1332).

The spelling of 102417448 in words is "one hundred two million, four hundred seventeen thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 13751 27502 55004 96257 110008 192514 261269 385028 522538 673799 770056 1045076 1347598 1828883 2090152 2695196 3657766 5390392 7315532 12802181 14631064 25604362 51208724 102417448