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396952002 = 2342699109
BaseRepresentation
bin10111101010010…
…000000111000010
31000122221020210000
4113222100013002
51303104431002
6103220020430
712560015316
oct2752200702
91018836700
10396952002
11194083a07
12b0b31716
1364315155
143aa0db46
1524cb061c
hex17a901c2

396952002 has 40 divisors (see below), whose sum is σ = 892871100. Its totient is φ = 131810976.

The previous prime is 396951967. The next prime is 396952043. The reversal of 396952002 is 200259693.

It can be written as a sum of positive squares in 2 ways, for example, as 310852161 + 86099841 = 17631^2 + 9279^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39024 + ... + 48132.

Almost surely, 2396952002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396952002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446435550).

396952002 is an abundant number, since it is smaller than the sum of its proper divisors (495919098).

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

396952002 is a wasteful number, since it uses less digits than its factorization.

396952002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 396952002 is about 19923.6543334801. The cubic root of 396952002 is about 734.9300391552.

The spelling of 396952002 in words is "three hundred ninety-six million, nine hundred fifty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 269 538 807 1614 2421 4842 7263 9109 14526 18218 21789 27327 43578 54654 81981 163962 245943 491886 737829 1475658 2450321 4900642 7350963 14701926 22052889 44105778 66158667 132317334 198476001 396952002