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99349650 = 232522329331
BaseRepresentation
bin1011110101111…
…11010010010010
320220221111002200
411322333102102
5200413142100
613505224030
72314313061
oct572772222
9226844080
1099349650
1151097954
1229332016
131777679a
14d2a21d8
158ac6e00
hex5ebf492

99349650 has 144 divisors (see below), whose sum is σ = 288999360. Its totient is φ = 24393600.

The previous prime is 99349619. The next prime is 99349667. The reversal of 99349650 is 5694399.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 99349596 and 99349605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299985 + ... + 300315.

It is an arithmetic number, because the mean of its divisors is an integer number (2006940).

Almost surely, 299349650 is an apocalyptic number.

99349650 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 99349650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144499680).

99349650 is an abundant number, since it is smaller than the sum of its proper divisors (189649710).

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

99349650 is a wasteful number, since it uses less digits than its factorization.

99349650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 99349650 is about 9967.4294579897. The cubic root of 99349650 is about 463.1504750311.

It can be divided in two parts, 99349 and 650, that added together give a palindrome (99999).

The spelling of 99349650 in words is "ninety-nine million, three hundred forty-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 29 30 45 46 50 58 69 75 87 90 115 138 145 150 174 207 225 230 261 290 331 345 414 435 450 522 575 662 667 690 725 870 993 1035 1150 1305 1334 1450 1655 1725 1986 2001 2070 2175 2610 2979 3310 3335 3450 4002 4350 4965 5175 5958 6003 6525 6670 7613 8275 9599 9930 10005 10350 12006 13050 14895 15226 16550 16675 19198 20010 22839 24825 28797 29790 30015 33350 38065 45678 47995 49650 50025 57594 60030 68517 74475 76130 86391 95990 100050 114195 137034 143985 148950 150075 172782 190325 220777 228390 239975 287970 300150 342585 380650 431955 441554 479950 570975 662331 685170 719925 863910 1103885 1141950 1324662 1439850 1712925 1986993 2159775 2207770 3311655 3425850 3973986 4319550 5519425 6623310 9934965 11038850 16558275 19869930 33116550 49674825 99349650