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96413850 = 232521316481
BaseRepresentation
bin1011011111100…
…10100010011010
320201102022221100
411233302202122
5144140220400
613322252230
72250334641
oct557624232
9221368840
1096413850
114a472175
1228357076
1316c89420
14cb3a358
1586e7100
hex5bf289a

96413850 has 72 divisors (see below), whose sum is σ = 278974332. Its totient is φ = 23731200.

The previous prime is 96413839. The next prime is 96413881. The reversal of 96413850 is 5831469.

96413850 is a `hidden beast` number, since 9 + 641 + 3 + 8 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14493249 + 81920601 = 3807^2 + 9051^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2391 + ... + 14090.

Almost surely, 296413850 is an apocalyptic number.

96413850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96413850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139487166).

96413850 is an abundant number, since it is smaller than the sum of its proper divisors (182560482).

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

96413850 is a wasteful number, since it uses less digits than its factorization.

96413850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96413850 is about 9819.0554535556. The cubic root of 96413850 is about 458.5427259942.

The spelling of 96413850 in words is "ninety-six million, four hundred thirteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 16481 32962 49443 82405 98886 148329 164810 214253 247215 296658 412025 428506 494430 642759 741645 824050 1071265 1236075 1285518 1483290 1928277 2142530 2472150 3213795 3708225 3856554 5356325 6427590 7416450 9641385 10712650 16068975 19282770 32137950 48206925 96413850