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2002897408 = 2923283601
BaseRepresentation
bin111011101100001…
…1100101000000000
312011120210201201111
41313120130220000
513100220204113
6530425013104
7100430230021
oct16730345000
95146721644
102002897408
11938646516
1247a924194
1325bc500c5
14150010c48
15bac8613d
hex7761ca00

2002897408 has 80 divisors (see below), whose sum is σ = 4197606336. Its totient is φ = 952934400.

The previous prime is 2002897399. The next prime is 2002897427. The reversal of 2002897408 is 8047982002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332308 + ... + 3332908.

Almost surely, 22002897408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098803168).

2002897408 is an abundant number, since it is smaller than the sum of its proper divisors (2194708928).

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

2002897408 is an equidigital number, since it uses as much as digits as its factorization.

2002897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 2002897408 is about 44753.7418323876. The cubic root of 2002897408 is about 1260.5291738804.

The spelling of 2002897408 in words is "two billion, two million, eight hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 283 368 512 566 601 736 1132 1202 1472 2264 2404 2944 4528 4808 5888 6509 9056 9616 11776 13018 13823 18112 19232 26036 27646 36224 38464 52072 55292 72448 76928 104144 110584 144896 153856 170083 208288 221168 307712 340166 416576 442336 680332 833152 884672 1360664 1666304 1769344 2721328 3332608 3538688 3911909 5442656 7077376 7823818 10885312 15647636 21770624 31295272 43541248 62590544 87082496 125181088 250362176 500724352 1001448704 2002897408