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99644480 = 26513171409
BaseRepresentation
bin1011111000001…
…11010001000000
320221111110112022
411330013101000
5201002110410
613515421012
72316651455
oct574072100
9227443468
1099644480
1151279411
1229454768
131784aa40
14d33b82c
158b34455
hex5f07440

99644480 has 112 divisors (see below), whose sum is σ = 270753840. Its totient is φ = 34603008.

The previous prime is 99644449. The next prime is 99644507. The reversal of 99644480 is 8444699.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19219456 + 80425024 = 4384^2 + 8968^2 .

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 15 ways as a sum of consecutive naturals, for example, 70016 + ... + 71424.

It is an arithmetic number, because the mean of its divisors is an integer number (2417445).

Almost surely, 299644480 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 99644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135376920).

99644480 is an abundant number, since it is smaller than the sum of its proper divisors (171109360).

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

99644480 is a wasteful number, since it uses less digits than its factorization.

99644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 99644480 is about 9982.2081725438. The cubic root of 99644480 is about 463.6081709932.

The spelling of 99644480 in words is "ninety-nine million, six hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1409 1768 2080 2210 2720 2818 3536 4160 4420 5440 5636 7045 7072 8840 11272 14090 14144 17680 18317 22544 23953 28180 35360 36634 45088 47906 56360 70720 73268 90176 91585 95812 112720 119765 146536 183170 191624 225440 239530 293072 311389 366340 383248 450880 479060 586144 622778 732680 766496 958120 1172288 1245556 1465360 1532992 1556945 1916240 2491112 2930720 3113890 3832480 4982224 5861440 6227780 7664960 9964448 12455560 19928896 24911120 49822240 99644480