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93906384 = 243111313681
BaseRepresentation
bin1011001100011…
…10010111010000
320112200221100020
411212032113100
5143020001014
613152423440
72220122355
oct546162720
9215627306
1093906384
114900a290
1227547b80
13165bc010
14c68662c
15839e1a9
hex598e5d0

93906384 has 80 divisors (see below), whose sum is σ = 285023424. Its totient is φ = 26265600.

The previous prime is 93906361. The next prime is 93906391. The reversal of 93906384 is 48360939.

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 15 ways as a sum of consecutive naturals, for example, 24 + ... + 13704.

Almost surely, 293906384 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 93906384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142511712).

93906384 is an abundant number, since it is smaller than the sum of its proper divisors (191117040).

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

93906384 is a wasteful number, since it uses less digits than its factorization.

93906384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 93906384 is about 9690.5306356257. The cubic root of 93906384 is about 454.5326021869.

The spelling of 93906384 in words is "ninety-three million, nine hundred six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 13681 27362 41043 54724 82086 109448 150491 164172 177853 218896 300982 328344 355706 451473 533559 601964 656688 711412 902946 1067118 1203928 1422824 1805892 1956383 2134236 2407856 2845648 3611784 3912766 4268472 5869149 7223568 7825532 8536944 11738298 15651064 23476596 31302128 46953192 93906384