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92288416 = 25112391097
BaseRepresentation
bin1011000000000…
…11010110100000
320102122201220111
411200003112200
5142111212131
613054021104
72200303303
oct540032640
9212581814
1092288416
1148104720
1226aa7794
131617373c
14c384b3a
15817eab1
hex58035a0

92288416 has 48 divisors (see below), whose sum is σ = 199221120. Its totient is φ = 41735680.

The previous prime is 92288387. The next prime is 92288431. The reversal of 92288416 is 61488229.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83580 + ... + 84676.

It is an arithmetic number, because the mean of its divisors is an integer number (4150440).

Almost surely, 292288416 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 92288416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

92288416 is an abundant number, since it is smaller than the sum of its proper divisors (106932704).

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

92288416 is a wasteful number, since it uses less digits than its factorization.

92288416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 92288416 is about 9606.6860050696. The cubic root of 92288416 is about 451.9069952482.

The spelling of 92288416 in words is "ninety-two million, two hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1097 1912 2194 2629 3824 4388 5258 7648 8776 10516 12067 17552 21032 24134 35104 42064 48268 84128 96536 193072 262183 386144 524366 1048732 2097464 2884013 4194928 5768026 8389856 11536052 23072104 46144208 92288416