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93993320 = 23537411549
BaseRepresentation
bin1011001101000…
…11100101101000
320112212100121002
411212203211220
5143030241240
613154334132
72220634001
oct546434550
9215770532
1093993320
1149069633
122758a348
131661c765
14c6aa1a8
1583b9d15
hex59a3968

93993320 has 64 divisors (see below), whose sum is σ = 222642000. Its totient is φ = 35665920.

The previous prime is 93993311. The next prime is 93993337. The reversal of 93993320 is 2339939.

It can be written as a sum of positive squares in 8 ways, for example, as 28026436 + 65966884 = 5294^2 + 8122^2 .

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 15 ways as a sum of consecutive naturals, for example, 59906 + ... + 61454.

Almost surely, 293993320 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 93993320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321000).

93993320 is an abundant number, since it is smaller than the sum of its proper divisors (128648680).

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

93993320 is a wasteful number, since it uses less digits than its factorization.

93993320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 38.

The square root of 93993320 is about 9695.0152140159. The cubic root of 93993320 is about 454.6728236033.

The spelling of 93993320 in words is "ninety-three million, nine hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 410 740 820 1480 1517 1549 1640 3034 3098 6068 6196 7585 7745 12136 12392 15170 15490 30340 30980 57313 60680 61960 63509 114626 127018 229252 254036 286565 317545 458504 508072 573130 635090 1146260 1270180 2292520 2349833 2540360 4699666 9399332 11749165 18798664 23498330 46996660 93993320