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96277272 = 23371323391
BaseRepresentation
bin1011011110100…
…01001100011000
320201011101120220
411233101030120
5144121333042
613315320040
72246225520
oct557211430
9221141526
1096277272
114a3895a3
12282b0020
1316c3c200
14cb02680
1586bb8ec
hex5bd1318

96277272 has 96 divisors (see below), whose sum is σ = 297953280. Its totient is φ = 25384320.

The previous prime is 96277229. The next prime is 96277277. The reversal of 96277272 is 27277269.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96277277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26697 + ... + 30087.

It is an arithmetic number, because the mean of its divisors is an integer number (3103680).

Almost surely, 296277272 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 96277272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148976640).

96277272 is an abundant number, since it is smaller than the sum of its proper divisors (201676008).

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

96277272 is a wasteful number, since it uses less digits than its factorization.

96277272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3416 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 96277272 is about 9812.0982465526. The cubic root of 96277272 is about 458.3261027473.

The spelling of 96277272 in words is "ninety-six million, two hundred seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3391 3549 4056 4732 6782 7098 9464 10173 13564 14196 20346 23737 27128 28392 40692 44083 47474 71211 81384 88166 94948 132249 142422 176332 189896 264498 284844 308581 352664 528996 569688 573079 617162 925743 1057992 1146158 1234324 1719237 1851486 2292316 2468648 3438474 3702972 4011553 4584632 6876948 7405944 8023106 12034659 13753896 16046212 24069318 32092424 48138636 96277272