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93338496 = 273281023
BaseRepresentation
bin1011001000000…
…11101110000000
320111122002100100
411210003232000
5142343312441
613132322400
72212235616
oct544035600
9214562310
1093338496
1148761659
1227313400
13164506a4
14c5796b6
1582dacb6
hex5903b80

93338496 has 48 divisors (see below), whose sum is σ = 268594560. Its totient is φ = 31112448.

The previous prime is 93338491. The next prime is 93338503. The reversal of 93338496 is 69483339.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93338491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39360 + ... + 41663.

It is an arithmetic number, because the mean of its divisors is an integer number (5595720).

Almost surely, 293338496 is an apocalyptic number.

93338496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93338496 is an abundant number, since it is smaller than the sum of its proper divisors (175256064).

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

93338496 is a wasteful number, since it uses less digits than its factorization.

93338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81043 (or 81028 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 93338496 is about 9661.1850204827. The cubic root of 93338496 is about 453.6145045426.

The spelling of 93338496 in words is "ninety-three million, three hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 81023 162046 243069 324092 486138 648184 729207 972276 1296368 1458414 1944552 2592736 2916828 3889104 5185472 5833656 7778208 10370944 11667312 15556416 23334624 31112832 46669248 93338496