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93030272 = 272393041
BaseRepresentation
bin1011000101110…
…00011110000000
320111001102112122
411202320132000
5142303432042
613121543412
72206513166
oct542703600
9214042478
1093030272
1148571025
12271a4b68
13163732ca
14c4d9236
1582797d2
hex58b8780

93030272 has 32 divisors (see below), whose sum is σ = 186170400. Its totient is φ = 46305280.

The previous prime is 93030257. The next prime is 93030277. The reversal of 93030272 is 27203039.

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 (93030277) 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, 29072 + ... + 32112.

It is an arithmetic number, because the mean of its divisors is an integer number (5817825).

Almost surely, 293030272 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 93030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

93030272 is an abundant number, since it is smaller than the sum of its proper divisors (93140128).

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

93030272 is a wasteful number, since it uses less digits than its factorization.

93030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 93030272 is about 9645.2201633763. The cubic root of 93030272 is about 453.1146426931.

The spelling of 93030272 in words is "ninety-three million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 239 478 956 1912 3041 3824 6082 7648 12164 15296 24328 30592 48656 97312 194624 389248 726799 1453598 2907196 5814392 11628784 23257568 46515136 93030272