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96406848 = 26356199
BaseRepresentation
bin1011011111100…
…00110101000000
320201101222100000
411233300311000
5144140004343
613322200000
72250305346
oct557606500
9221358300
1096406848
114a46798a
1228353000
1316c86195
14cb37996
1586e4ed3
hex5bf0d40

96406848 has 84 divisors (see below), whose sum is σ = 286613600. Its totient is φ = 32130432.

The previous prime is 96406829. The next prime is 96406859. The reversal of 96406848 is 84860469.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12453 + ... + 18651.

Almost surely, 296406848 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 96406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143306800).

96406848 is an abundant number, since it is smaller than the sum of its proper divisors (190206752).

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

96406848 is an equidigital number, since it uses as much as digits as its factorization.

96406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 96406848 is about 9818.6988954749. The cubic root of 96406848 is about 458.5316252589.

The spelling of 96406848 in words is "ninety-six million, four hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 6199 7776 12398 15552 18597 24796 37194 49592 55791 74388 99184 111582 148776 167373 198368 223164 297552 334746 396736 446328 502119 595104 669492 892656 1004238 1190208 1338984 1506357 1785312 2008476 2677968 3012714 3570624 4016952 5355936 6025428 8033904 10711872 12050856 16067808 24101712 32135616 48203424 96406848