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984252006 = 23336774957
BaseRepresentation
bin111010101010100…
…111111001100110
32112121001011221000
4322222213321212
54003432031011
6241355534130
733251001243
oct7252477146
92477034830
10984252006
11465648111
1223575a346
13128bb524a
1494a0c5ca
155b620356
hex3aaa7e66

984252006 has 32 divisors (see below), whose sum is σ = 2188262880. Its totient is φ = 327928608.

The previous prime is 984251999. The next prime is 984252007. The reversal of 984252006 is 600252489.

It is a happy number.

984252006 is a `hidden beast` number, since 98 + 42 + 520 + 0 + 6 = 666.

It is a super-2 number, since 2×9842520062 = 1937504022630048072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984252007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196080 + ... + 201036.

It is an arithmetic number, because the mean of its divisors is an integer number (68383215).

Almost surely, 2984252006 is an apocalyptic number.

984252006 is an abundant number, since it is smaller than the sum of its proper divisors (1204010874).

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

984252006 is a wasteful number, since it uses less digits than its factorization.

984252006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8645 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 984252006 is about 31372.7908544968. The cubic root of 984252006 is about 994.7228695469.

The spelling of 984252006 in words is "nine hundred eighty-four million, two hundred fifty-two thousand, six".

Divisors: 1 2 3 6 9 18 27 54 3677 4957 7354 9914 11031 14871 22062 29742 33093 44613 66186 89226 99279 133839 198558 267678 18226889 36453778 54680667 109361334 164042001 328084002 492126003 984252006