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96694912 = 2717371201
BaseRepresentation
bin1011100001101…
…11001010000000
320201221121111001
411300313022000
5144223214122
613332301344
72252615236
oct560671200
9221847431
1096694912
114a644356
1228471854
1317057332
14cbb0956
158750527
hex5c37280

96694912 has 64 divisors (see below), whose sum is σ = 209652840. Its totient is φ = 44236800.

The previous prime is 96694909. The next prime is 96694931. The reversal of 96694912 is 21949669.

It can be written as a sum of positive squares in 4 ways, for example, as 82737216 + 13957696 = 9096^2 + 3736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 79912 + ... + 81112.

Almost surely, 296694912 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 96694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104826420).

96694912 is an abundant number, since it is smaller than the sum of its proper divisors (112957928).

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

96694912 is a wasteful number, since it uses less digits than its factorization.

96694912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The square root of 96694912 is about 9833.3571073159. The cubic root of 96694912 is about 458.9878691756.

The spelling of 96694912 in words is "ninety-six million, six hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 629 1088 1184 1201 1258 2176 2368 2402 2516 4736 4804 5032 9608 10064 19216 20128 20417 38432 40256 40834 44437 76864 80512 81668 88874 153728 163336 177748 326672 355496 653344 710992 755429 1306688 1421984 1510858 2613376 2843968 3021716 5687936 6043432 12086864 24173728 48347456 96694912