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96428064 = 2534124499
BaseRepresentation
bin1011011111101…
…10000000100000
320201110001102210
411233312000200
5144141144224
613322442120
72250424245
oct557660040
9221401383
1096428064
114a481917
1228363340
1316c92a35
14cb415cc
1586eb429
hex5bf6020

96428064 has 48 divisors (see below), whose sum is σ = 259308000. Its totient is φ = 31357440.

The previous prime is 96428051. The next prime is 96428071. The reversal of 96428064 is 46082469.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8314 + ... + 16185.

It is an arithmetic number, because the mean of its divisors is an integer number (5402250).

Almost surely, 296428064 is an apocalyptic number.

It is an amenable number.

96428064 is an abundant number, since it is smaller than the sum of its proper divisors (162879936).

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

96428064 is a wasteful number, since it uses less digits than its factorization.

96428064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 96428064 is about 9819.7792235875. The cubic root of 96428064 is about 458.5652587391.

Subtracting from 96428064 its reverse (46082469), we obtain a triangular number (50345595 = T10034).

The spelling of 96428064 in words is "ninety-six million, four hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 24499 48998 73497 97996 146994 195992 293988 391984 587976 783968 1004459 1175952 2008918 2351904 3013377 4017836 6026754 8035672 12053508 16071344 24107016 32142688 48214032 96428064