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96702272 = 2641137269
BaseRepresentation
bin1011100001110…
…00111101000000
320201221222120122
411300320331000
5144223433042
613332355412
72252645552
oct560707500
9221858518
1096702272
114a649937
1228475b68
131705a7a4
14cbb34d2
1587527d2
hex5c38f40

96702272 has 56 divisors (see below), whose sum is σ = 198744840. Its totient is φ = 46653440.

The previous prime is 96702247. The next prime is 96702283. The reversal of 96702272 is 27220769.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 95570176 = 1064^2 + 9776^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 359354 + ... + 359622.

It is an arithmetic number, because the mean of its divisors is an integer number (3549015).

Almost surely, 296702272 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 96702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372420).

96702272 is an abundant number, since it is smaller than the sum of its proper divisors (102042568).

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

96702272 is a wasteful number, since it uses less digits than its factorization.

96702272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 96702272 is about 9833.7313365782. The cubic root of 96702272 is about 458.9995142730. Note that the first 3 decimals are identical.

The spelling of 96702272 in words is "ninety-six million, seven hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 137 164 269 274 328 538 548 656 1076 1096 1312 2152 2192 2624 4304 4384 5617 8608 8768 11029 11234 17216 22058 22468 36853 44116 44936 73706 88232 89872 147412 176464 179744 294824 352928 359488 589648 705856 1179296 1510973 2358592 3021946 6043892 12087784 24175568 48351136 96702272