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93424352 = 2571932161
BaseRepresentation
bin1011001000110…
…00101011100000
320111210110010012
411210120223200
5142404034402
613134224052
72213044130
oct544305340
9214713105
1093424352
114881010a
1227355028
13164807a8
14c59cac0
158306452
hex5918ae0

93424352 has 48 divisors (see below), whose sum is σ = 211391712. Its totient is φ = 39813120.

The previous prime is 93424339. The next prime is 93424361. The reversal of 93424352 is 25342439.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42152 + ... + 44312.

It is an arithmetic number, because the mean of its divisors is an integer number (4403994).

Almost surely, 293424352 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 93424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105695856).

93424352 is an abundant number, since it is smaller than the sum of its proper divisors (117967360).

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

93424352 is a wasteful number, since it uses less digits than its factorization.

93424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2363 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 93424352 is about 9665.6273464271. The cubic root of 93424352 is about 453.7535453940.

The spelling of 93424352 in words is "ninety-three million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2161 2702 3088 4322 5404 6176 8644 10808 15127 17288 21616 30254 34576 43232 60508 69152 121016 242032 417073 484064 834146 1668292 2919511 3336584 5839022 6673168 11678044 13346336 23356088 46712176 93424352