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96849444 = 22329535989
BaseRepresentation
bin1011100010111…
…00111000100100
320202020110110110
411301130320210
5144243140234
613335453020
72254130616
oct561347044
9222213413
1096849444
114a73a46a
1228527170
13170ac783
14cc10db6
1587811e9
hex5c5ce24

96849444 has 96 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 29725696.

The previous prime is 96849427. The next prime is 96849457. The reversal of 96849444 is 44494869.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96849393 and 96849402.

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 31 ways as a sum of consecutive naturals, for example, 1088152 + ... + 1088240.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 296849444 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 96849444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

96849444 is an abundant number, since it is smaller than the sum of its proper divisors (148094556).

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

96849444 is a wasteful number, since it uses less digits than its factorization.

96849444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 96849444 is about 9841.2115107846. The cubic root of 96849444 is about 459.2322479852.

The spelling of 96849444 in words is "ninety-six million, eight hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 53 58 59 87 89 106 116 118 159 174 177 178 212 236 267 318 348 354 356 534 636 708 1068 1537 1711 2581 3074 3127 3422 4611 4717 5133 5162 5251 6148 6254 6844 7743 9222 9381 9434 10266 10324 10502 12508 14151 15486 15753 18444 18762 18868 20532 21004 28302 30972 31506 37524 56604 63012 90683 136793 152279 181366 272049 273586 278303 304558 362732 410379 456837 544098 547172 556606 609116 820758 834909 913674 1088196 1113212 1641516 1669818 1827348 3339636 8070787 16141574 24212361 32283148 48424722 96849444