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93998016 = 2633719409
BaseRepresentation
bin1011001101001…
…00101111000000
320112212121001000
411212210233000
5143030414031
613154412000
72220653460
oct546445700
9215777030
1093998016
1149072112
1227591000
1316621938
14c6abba0
1583bb3e6
hex59a4bc0

93998016 has 224 divisors, whose sum is σ = 333248000. Its totient is φ = 25380864.

The previous prime is 93997963. The next prime is 93998027. The reversal of 93998016 is 61089939.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229620 + ... + 230028.

Almost surely, 293998016 is an apocalyptic number.

93998016 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 93998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166624000).

93998016 is an abundant number, since it is smaller than the sum of its proper divisors (239249984).

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

93998016 is a wasteful number, since it uses less digits than its factorization.

93998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 93998016 is about 9695.2573973051. The cubic root of 93998016 is about 454.6803954464.

The spelling of 93998016 in words is "ninety-three million, nine hundred ninety-eight thousand, sixteen".