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96396048 = 24337127251
BaseRepresentation
bin1011011111011…
…10001100010000
320201101102112000
411233232030100
5144134133143
613322034000
72250232020
oct557561420
9221342460
1096396048
114a45a861
1228348900
1316c812a8
14cb33a80
1586e1bd3
hex5bee310

96396048 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 27216000.

The previous prime is 96396031. The next prime is 96396071. The reversal of 96396048 is 84069369.

96396048 is a `hidden beast` number, since 9 + 6 + 39 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96395994 and 96396012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383923 + ... + 384173.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 296396048 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 96396048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

96396048 is an abundant number, since it is smaller than the sum of its proper divisors (223583472).

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

96396048 is a wasteful number, since it uses less digits than its factorization.

96396048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 96396048 is about 9818.1489090358. The cubic root of 96396048 is about 458.5145022481.

The spelling of 96396048 in words is "ninety-six million, three hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 127 144 168 189 216 251 252 254 336 378 381 432 502 504 508 753 756 762 889 1004 1008 1016 1143 1506 1512 1524 1757 1778 2008 2032 2259 2286 2667 3012 3024 3048 3429 3514 3556 4016 4518 4572 5271 5334 6024 6096 6777 6858 7028 7112 8001 9036 9144 10542 10668 12048 13554 13716 14056 14224 15813 16002 18072 18288 21084 21336 24003 27108 27432 28112 31626 31877 32004 36144 42168 42672 47439 48006 54216 54864 63252 63754 64008 84336 94878 95631 96012 108432 126504 127508 128016 189756 191262 192024 223139 253008 255016 286893 379512 382524 384048 446278 510032 573786 669417 759024 765048 860679 892556 1147572 1338834 1530096 1721358 1785112 2008251 2295144 2677668 3442716 3570224 4016502 4590288 5355336 6024753 6885432 8033004 10710672 12049506 13770864 16066008 24099012 32132016 48198024 96396048