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99428480 = 275337461
BaseRepresentation
bin1011110110100…
…10100010000000
320221002111020022
411323102202000
5200423202410
613511033012
72315061644
oct573224200
9227074208
1099428480
11511410a8
122936b768
13177a3628
14d2c2c24
158ae0455
hex5ed2880

99428480 has 64 divisors (see below), whose sum is σ = 238918680. Its totient is φ = 39567360.

The previous prime is 99428479. The next prime is 99428489. The reversal of 99428480 is 8482499.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60590656 + 38837824 = 7784^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×994284802 = 19772045270220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99428489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 215450 + ... + 215910.

Almost surely, 299428480 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 99428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119459340).

99428480 is an abundant number, since it is smaller than the sum of its proper divisors (139490200).

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

99428480 is a wasteful number, since it uses less digits than its factorization.

99428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 99428480 is about 9971.3830535187. The cubic root of 99428480 is about 463.2729398133.

The spelling of 99428480 in words is "ninety-nine million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 337 461 640 674 922 1348 1685 1844 2305 2696 3370 3688 4610 5392 6740 7376 9220 10784 13480 14752 18440 21568 26960 29504 36880 43136 53920 59008 73760 107840 147520 155357 215680 295040 310714 621428 776785 1242856 1553570 2485712 3107140 4971424 6214280 9942848 12428560 19885696 24857120 49714240 99428480