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9953055 = 3257191663
BaseRepresentation
bin100101111101…
…111100011111
3200201200000200
4211331330133
510021444210
6553154543
7150412440
oct45757437
920650020
109953055
115688972
1233bba53
1320a63a8
1414712c7
15d190c0
hex97df1f

9953055 has 48 divisors (see below), whose sum is σ = 20766720. Its totient is φ = 4307904.

The previous prime is 9953023. The next prime is 9953071. The reversal of 9953055 is 5503599.

9953055 = T224 + T225 + ... + T413.

It is not a de Polignac number, because 9953055 - 25 = 9953023 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5154 + ... + 6816.

It is an arithmetic number, because the mean of its divisors is an integer number (432640).

Almost surely, 29953055 is an apocalyptic number.

9953055 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9953055 is an abundant number, since it is smaller than the sum of its proper divisors (10813665).

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

9953055 is a wasteful number, since it uses less digits than its factorization.

9953055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 36.

The square root of 9953055 is about 3154.8462720076. The cubic root of 9953055 is about 215.1058069441.

The spelling of 9953055 in words is "nine million, nine hundred fifty-three thousand, fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1663 1995 4989 5985 8315 11641 14967 24945 31597 34923 58205 74835 94791 104769 157985 174615 221179 284373 473955 523845 663537 1105895 1421865 1990611 3317685 9953055