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3628439808 = 2837296419
BaseRepresentation
bin1101100001000101…
…1001100100000000
3100100212112211200120
43120101121210000
524412340033213
61400014020240
7155626141500
oct33021314400
910325484616
103628439808
1115a2183594
128531a7680
1345a959c06
14265c73a00
1516382d423
hexd8459900

3628439808 has 108 divisors (see below), whose sum is σ = 11233701360. Its totient is φ = 1036686336.

The previous prime is 3628439807. The next prime is 3628439827. The reversal of 3628439808 is 8089348263.

It is not an unprimeable number, because it can be changed into a prime (3628439807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10578 + ... + 85841.

Almost surely, 23628439808 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 3628439808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616850680).

3628439808 is an abundant number, since it is smaller than the sum of its proper divisors (7605261552).

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

3628439808 is an equidigital number, since it uses as much as digits as its factorization.

3628439808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96452 (or 96431 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3628439808 is about 60236.5321711003. The cubic root of 3628439808 is about 1536.6441525669.

The spelling of 3628439808 in words is "three billion, six hundred twenty-eight million, four hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 96419 192838 289257 385676 578514 674933 771352 1157028 1349866 1542704 2024799 2314056 2699732 3085408 4049598 4628112 4724531 5399464 6170816 8099196 9256224 9449062 10798928 12341632 14173593 16198392 18512448 18898124 21597856 24683264 28347186 32396784 37024896 37796248 43195712 56694372 64793568 74049792 75592496 86391424 113388744 129587136 151184992 172782848 226777488 259174272 302369984 453554976 518348544 604739968 907109952 1209479936 1814219904 3628439808