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99405952 = 275314653
BaseRepresentation
bin1011110110011…
…01000010000000
320221001100022221
411323031002000
5200421442302
613510340424
72314636162
oct573150200
9227040287
1099405952
1151126188
122935a714
13177962b9
14d2b8932
158ad8937
hex5ecd080

99405952 has 32 divisors (see below), whose sum is σ = 201785580. Its totient is φ = 48761856.

The previous prime is 99405947. The next prime is 99406009. The reversal of 99405952 is 25950499.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 7706176 = 9576^2 + 2776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 99405899 and 99405908.

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 3 ways as a sum of consecutive naturals, for example, 543 + ... + 14110.

Almost surely, 299405952 is an apocalyptic number.

It is an amenable number.

99405952 is an abundant number, since it is smaller than the sum of its proper divisors (102379628).

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

99405952 is a wasteful number, since it uses less digits than its factorization.

99405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 14708 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 99405952 is about 9970.2533568611. The cubic root of 99405952 is about 463.2379484939.

The spelling of 99405952 in words is "ninety-nine million, four hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 14653 29306 58612 117224 234448 468896 776609 937792 1553218 1875584 3106436 6212872 12425744 24851488 49702976 99405952