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99005949 = 337607863
BaseRepresentation
bin1011110011010…
…11010111111101
320220022000122000
411321223113331
5200321142244
613454012513
72311352040
oct571532775
9226260560
1099005949
11509826a9
12291a7139
1317686203
14d212c57
158a5a169
hex5e6b5fd

99005949 has 32 divisors (see below), whose sum is σ = 168099840. Its totient is φ = 56416176.

The previous prime is 99005911. The next prime is 99005983. The reversal of 99005949 is 94950099.

It is a happy number.

It is not a de Polignac number, because 99005949 - 213 = 98997757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99005999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114292 + ... + 115154.

It is an arithmetic number, because the mean of its divisors is an integer number (5253120).

Almost surely, 299005949 is an apocalyptic number.

It is an amenable number.

99005949 is a deficient number, since it is larger than the sum of its proper divisors (69093891).

99005949 is a wasteful number, since it uses less digits than its factorization.

99005949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 99005949 is about 9950.1733150735. The cubic root of 99005949 is about 462.6157668811.

The spelling of 99005949 in words is "ninety-nine million, five thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 607 863 1821 2589 4249 5463 6041 7767 12747 16389 18123 23301 38241 54369 114723 163107 523841 1571523 3666887 4714569 11000661 14143707 33001983 99005949