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93108048 = 243112172341
BaseRepresentation
bin1011000110010…
…11011101010000
320111012101020020
411203023131100
5142313424143
613123343440
72210256015
oct543133520
9214171206
1093108048
1148614500
1227221b80
131639c827
14c51970c
158292883
hex58cb750

93108048 has 240 divisors, whose sum is σ = 299230848. Its totient is φ = 24780800.

The previous prime is 93108047. The next prime is 93108073. The reversal of 93108048 is 84080139.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93108047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270908 + ... + 2270948.

Almost surely, 293108048 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 93108048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

93108048 is an abundant number, since it is smaller than the sum of its proper divisors (206122800).

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

93108048 is a wasteful number, since it uses less digits than its factorization.

93108048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 93108048 is about 9649.2511626551. The cubic root of 93108048 is about 453.2408798390.

The spelling of 93108048 in words is "ninety-three million, one hundred eight thousand, forty-eight".