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93998240 = 2557234189
BaseRepresentation
bin1011001101001…
…00110010100000
320112212121100022
411212210302200
5143030420430
613154413012
72220654230
oct546446240
9215777308
1093998240
11490722a6
1227591168
1316621a7b
14c6abcc0
1583bb4e5
hex59a4ca0

93998240 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 29736960.

The previous prime is 93998237. The next prime is 93998243. The reversal of 93998240 is 4289939.

It is an interprime number because it is at equal distance from previous prime (93998237) and next prime (93998243).

It is a junction number, because it is equal to n+sod(n) for n = 93998191 and 93998200.

It is not an unprimeable number, because it can be changed into a prime (93998243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056116 + ... + 1056204.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 293998240 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 93998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

93998240 is an abundant number, since it is smaller than the sum of its proper divisors (180339040).

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

93998240 is a wasteful number, since it uses less digits than its factorization.

93998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 93998240 is about 9695.2689493381. The cubic root of 93998240 is about 454.6807566183.

The spelling of 93998240 in words is "ninety-three million, nine hundred ninety-eight thousand, two hundred forty".