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92416 = 28192
BaseRepresentation
bin10110100100000000
311200202211
4112210000
510424131
61551504
7533302
oct264400
9150684
1092416
1163485
1245594
13330ac
1425972
151c5b1
hex16900

92416 has 27 divisors (see below), whose sum is σ = 194691. Its totient is φ = 43776.

The previous prime is 92413. The next prime is 92419. The reversal of 92416 is 61429.

92416 = T303 + T304.

The square root of 92416 is 304.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (92413) and next prime (92419).

It is a Duffinian number.

Its product of digits (432) is a multiple of the sum of its prime factors (54).

It is not an unprimeable number, because it can be changed into a prime (92413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4855 + ... + 4873.

292416 is an apocalyptic number.

92416 is the 304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92416

92416 is an abundant number, since it is smaller than the sum of its proper divisors (102275).

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

92416 is an equidigital number, since it uses as much as digits as its factorization.

92416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The cubic root of 92416 is about 45.2115145437.

The spelling of 92416 in words is "ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1444 2432 2888 4864 5776 11552 23104 46208 92416