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96350064 = 24319293643
BaseRepresentation
bin1011011111000…
…10111101110000
320201022002102220
411233202331300
5144131200224
613321041040
72246650656
oct557427560
9221262386
1096350064
114a429258
1228326180
1316c66395
14cb20dd6
1586d3279
hex5be2f70

96350064 has 80 divisors (see below), whose sum is σ = 271113600. Its totient is φ = 29369088.

The previous prime is 96350063. The next prime is 96350069. The reversal of 96350064 is 46005369.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96350063) 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, 24627 + ... + 28269.

It is an arithmetic number, because the mean of its divisors is an integer number (3388920).

Almost surely, 296350064 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 96350064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135556800).

96350064 is an abundant number, since it is smaller than the sum of its proper divisors (174763536).

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

96350064 is a wasteful number, since it uses less digits than its factorization.

96350064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 96350064 is about 9815.8068440653. The cubic root of 96350064 is about 458.4415819545.

The spelling of 96350064 in words is "ninety-six million, three hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 912 1102 1392 1653 2204 3306 3643 4408 6612 7286 8816 10929 13224 14572 21858 26448 29144 43716 58288 69217 87432 105647 138434 174864 207651 211294 276868 316941 415302 422588 553736 633882 830604 845176 1107472 1267764 1661208 1690352 2007293 2535528 3322416 4014586 5071056 6021879 8029172 12043758 16058344 24087516 32116688 48175032 96350064