Search a number
-
+
93970816 = 27799293
BaseRepresentation
bin1011001100111…
…10000110000000
320112211012201121
411212132012000
5143024031231
613154042024
72220511252
oct546360600
9215735647
1093970816
1149053735
1227579314
1316612444
14c6a1cd2
1583b3311
hex599e180

93970816 has 32 divisors (see below), whose sum is σ = 189597600. Its totient is φ = 46385664.

The previous prime is 93970757. The next prime is 93970819. The reversal of 93970816 is 61807939.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93970819) 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 3 ways as a sum of consecutive naturals, for example, 5466 + ... + 14758.

It is an arithmetic number, because the mean of its divisors is an integer number (5924925).

Almost surely, 293970816 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 93970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94798800).

93970816 is an abundant number, since it is smaller than the sum of its proper divisors (95626784).

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

93970816 is an equidigital number, since it uses as much as digits as its factorization.

93970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 93970816 is about 9693.8545481145. The cubic root of 93970816 is about 454.6365345922.

The spelling of 93970816 in words is "ninety-three million, nine hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 9293 10112 18586 37172 74344 148688 297376 594752 734147 1189504 1468294 2936588 5873176 11746352 23492704 46985408 93970816