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93416764 = 22731281383
BaseRepresentation
bin1011001000101…
…10110100111100
320111210001201011
411210112310330
5142403314024
613134125004
72213013040
oct544266474
9214701634
1093416764
1148805441
1227350764
131647a1bc
14c59a020
158304094
hex5916d3c

93416764 has 48 divisors (see below), whose sum is σ = 194052096. Its totient is φ = 38505600.

The previous prime is 93416753. The next prime is 93416779. The reversal of 93416764 is 46761439.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243717 + ... + 244099.

It is an arithmetic number, because the mean of its divisors is an integer number (4042752).

Almost surely, 293416764 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 93416764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97026048).

93416764 is an abundant number, since it is smaller than the sum of its proper divisors (100635332).

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

93416764 is a wasteful number, since it uses less digits than its factorization.

93416764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 93416764 is about 9665.2348134952. The cubic root of 93416764 is about 453.7412603203.

The spelling of 93416764 in words is "ninety-three million, four hundred sixteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 281 383 434 562 766 868 1124 1532 1967 2681 3934 5362 7868 8711 10724 11873 17422 23746 34844 47492 60977 83111 107623 121954 166222 215246 243908 332444 430492 753361 1506722 3013444 3336313 6672626 13345252 23354191 46708382 93416764