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96489900 = 223352132749
BaseRepresentation
bin1011100000001…
…01000110101100
320201120012021000
411300011012230
5144200134100
613324040300
72251102443
oct560050654
9221505230
1096489900
114a514321
1228393090
1316cb4c20
14cb59d5a
15870e900
hex5c051ac

96489900 has 144 divisors (see below), whose sum is σ = 334180000. Its totient is φ = 23742720.

The previous prime is 96489871. The next prime is 96489917. The reversal of 96489900 is 998469.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33726 + ... + 36474.

Almost surely, 296489900 is an apocalyptic number.

96489900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96489900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167090000).

96489900 is an abundant number, since it is smaller than the sum of its proper divisors (237690100).

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

96489900 is a wasteful number, since it uses less digits than its factorization.

96489900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 96489900 is about 9822.9272622778. The cubic root of 96489900 is about 458.6632585022.

The spelling of 96489900 in words is "ninety-six million, four hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2749 2925 3510 3900 5498 5850 7020 8247 8775 10996 11700 13745 16494 17550 24741 27490 32988 35100 35737 41235 49482 54980 68725 71474 74223 82470 98964 107211 123705 137450 142948 148446 164940 178685 206175 214422 247410 274900 296892 321633 357370 371115 412350 428844 494820 536055 618525 643266 714740 742230 824700 893425 964899 1072110 1237050 1286532 1484460 1608165 1786850 1855575 1929798 2144220 2474100 2680275 3216330 3573700 3711150 3859596 4824495 5360550 6432660 7422300 8040825 9648990 10721100 16081650 19297980 24122475 32163300 48244950 96489900