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93428464 = 2417389883
BaseRepresentation
bin1011001000110…
…01101011110000
320111210122202111
411210121223300
5142404202324
613134255104
72213062123
oct544315360
9214718674
1093428464
1148813208
1227357494
131648261c
14c5a03ba
158307794
hex5919af0

93428464 has 40 divisors (see below), whose sum is σ = 192376080. Its totient is φ = 43803648.

The previous prime is 93428437. The next prime is 93428473. The reversal of 93428464 is 46482439.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105367 + ... + 106249.

It is an arithmetic number, because the mean of its divisors is an integer number (4809402).

Almost surely, 293428464 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 93428464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

93428464 is an abundant number, since it is smaller than the sum of its proper divisors (98947616).

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

93428464 is a wasteful number, since it uses less digits than its factorization.

93428464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 93428464 is about 9665.8400566117. The cubic root of 93428464 is about 453.7602024991.

The spelling of 93428464 in words is "ninety-three million, four hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 389 778 883 1556 1766 3112 3532 6224 6613 7064 13226 14128 15011 26452 30022 52904 60044 105808 120088 240176 343487 686974 1373948 2747896 5495792 5839279 11678558 23357116 46714232 93428464