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93278112 = 2532294243
BaseRepresentation
bin1011000111101…
…00111110100000
320111112000111220
411203310332200
5142334344422
613131135040
72211564564
oct543647640
9214460456
1093278112
1148720254
12272a4480
131642c065
14c5616a4
1582c7e5c
hex58f4fa0

93278112 has 48 divisors (see below), whose sum is σ = 245982240. Its totient is φ = 30949632.

The previous prime is 93278093. The next prime is 93278131. The reversal of 93278112 is 21187239.

It is an interprime number because it is at equal distance from previous prime (93278093) and next prime (93278131).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19863 + ... + 24105.

It is an arithmetic number, because the mean of its divisors is an integer number (5124630).

Almost surely, 293278112 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 93278112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122991120).

93278112 is an abundant number, since it is smaller than the sum of its proper divisors (152704128).

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

93278112 is a wasteful number, since it uses less digits than its factorization.

93278112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4477 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 93278112 is about 9658.0594324119. The cubic root of 93278112 is about 453.5166636435.

The spelling of 93278112 in words is "ninety-three million, two hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 4243 5496 7328 8486 10992 12729 16972 21984 25458 33944 50916 67888 101832 135776 203664 407328 971647 1943294 2914941 3886588 5829882 7773176 11659764 15546352 23319528 31092704 46639056 93278112