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93392896 = 2121512
BaseRepresentation
bin1011001000100…
…01000000000000
320111201211222011
411210101000000
5142402033041
613133422304
72212553332
oct544210000
9214654864
1093392896
1148799513
122733a994
131646c38c
14c591452
1582ebe81
hex5911000

93392896 has 39 divisors (see below), whose sum is σ = 188008023. Its totient is φ = 46387200.

The previous prime is 93392813. The next prime is 93392927. The reversal of 93392896 is 69829339.

It is a happy number.

The square root of 93392896 is 9664.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 618421 + ... + 618571.

Almost surely, 293392896 is an apocalyptic number.

93392896 is the 9664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93392896

93392896 is an abundant number, since it is smaller than the sum of its proper divisors (94615127).

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

93392896 is an frugal number, since it uses more digits than its factorization.

93392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 153 counting only the distinct ones).

The product of its digits is 629856, while the sum is 49.

The cubic root of 93392896 is about 453.7026133709.

Multiplying 93392896 by its sum of digits (49), we get a square (4576251904 = 676482).

The spelling of 93392896 in words is "ninety-three million, three hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 512 604 1024 1208 2048 2416 4096 4832 9664 19328 22801 38656 45602 77312 91204 154624 182408 309248 364816 618496 729632 1459264 2918528 5837056 11674112 23348224 46696448 93392896