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93134416 = 24311791049
BaseRepresentation
bin1011000110100…
…01111001010000
320111020201101211
411203101321100
5142320300131
613124105504
72210425624
oct543217120
9214221354
1093134416
11486322a1
1227235294
13163ab82b
14c525184
15829a5b1
hex58d1e50

93134416 has 40 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 44770560.

The previous prime is 93134413. The next prime is 93134417. The reversal of 93134416 is 61443139.

It is a super-2 number, since 2×931344162 = 17348038887322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93134413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88260 + ... + 89308.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 293134416 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 93134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

93134416 is an abundant number, since it is smaller than the sum of its proper divisors (94353584).

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

93134416 is a wasteful number, since it uses less digits than its factorization.

93134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 93134416 is about 9650.6173895767. The cubic root of 93134416 is about 453.2836614165.

The spelling of 93134416 in words is "ninety-three million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 179 248 358 496 716 1049 1432 2098 2864 4196 5549 8392 11098 16784 22196 32519 44392 65038 88784 130076 187771 260152 375542 520304 751084 1502168 3004336 5820901 11641802 23283604 46567208 93134416