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93494016 = 28327111731
BaseRepresentation
bin1011001001010…
…01101100000000
320111220222200100
411210221230000
5142413302031
613135522400
72213454210
oct544515400
9214828610
1093494016
1148858490
1227389400
13164a6405
14c5ba240
15831bde6
hex5929b00

93494016 has 432 divisors, whose sum is σ = 367331328. Its totient is φ = 22118400.

The previous prime is 93493993. The next prime is 93494021. The reversal of 93494016 is 61049439.

It is a super-2 number, since 2×934940162 = 17482262055616512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015921 + ... + 3015951.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 293494016 is an apocalyptic number.

93494016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

93494016 is an abundant number, since it is smaller than the sum of its proper divisors (273837312).

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

93494016 is a wasteful number, since it uses less digits than its factorization.

93494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93494016 is about 9669.2303726822. The cubic root of 93494016 is about 453.8663012675.

The spelling of 93494016 in words is "ninety-three million, four hundred ninety-four thousand, sixteen".