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96148512 = 2533195857
BaseRepresentation
bin1011011101100…
…01110000100000
320200220211222000
411232301300200
5144103223022
613312444000
72245151235
oct556616040
9220824860
1096148512
114a300889
1228249600
1316bc5715
14caab78c
1586936ac
hex5bb1c20

96148512 has 96 divisors (see below), whose sum is σ = 295243200. Its totient is φ = 30357504.

The previous prime is 96148501. The next prime is 96148517. The reversal of 96148512 is 21584169.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96148517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13488 + ... + 19344.

It is an arithmetic number, because the mean of its divisors is an integer number (3075450).

Almost surely, 296148512 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 96148512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147621600).

96148512 is an abundant number, since it is smaller than the sum of its proper divisors (199094688).

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

96148512 is a wasteful number, since it uses less digits than its factorization.

96148512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5881 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 96148512 is about 9805.5347635914. The cubic root of 96148512 is about 458.1216917596.

The spelling of 96148512 in words is "ninety-six million, one hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 5857 8208 11714 16416 17571 23428 35142 46856 52713 70284 93712 105426 111283 140568 158139 187424 210852 222566 281136 316278 333849 421704 445132 562272 632556 667698 843408 890264 1001547 1265112 1335396 1686816 1780528 2003094 2530224 2670792 3004641 3561056 4006188 5060448 5341584 6009282 8012376 10683168 12018564 16024752 24037128 32049504 48074256 96148512