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99478080 = 26325132657
BaseRepresentation
bin1011110110111…
…10101001000000
320221012000021100
411323132221000
5200431244310
613512054400
72315356362
oct573365100
9227160240
1099478080
1151175399
1229394400
13177c0090
14d2d6d32
158aeeec0
hex5edea40

99478080 has 168 divisors, whose sum is σ = 368622072. Its totient is φ = 24477696.

The previous prime is 99478061. The next prime is 99478103. The reversal of 99478080 is 8087499.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 95413824 = 2016^2 + 9768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36112 + ... + 38768.

It is an arithmetic number, because the mean of its divisors is an integer number (2194179).

Almost surely, 299478080 is an apocalyptic number.

99478080 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 99478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184311036).

99478080 is an abundant number, since it is smaller than the sum of its proper divisors (269143992).

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

99478080 is a wasteful number, since it uses less digits than its factorization.

99478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 99478080 is about 9973.8698607912. The cubic root of 99478080 is about 463.3499617355.

The spelling of 99478080 in words is "ninety-nine million, four hundred seventy-eight thousand, eighty".