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1000041984 = 293372341
BaseRepresentation
bin111011100110110…
…110111000000000
32120200202101201000
4323212312320000
54022002320414
6243122212000
733532134204
oct7346667000
92520671630
101000041984
11473552387
1223aab4000
1312c253326
1496b5cb04
155cbddb09
hex3b9b6e00

1000041984 has 80 divisors (see below), whose sum is σ = 2960234640. Its totient is φ = 333342720.

The previous prime is 1000041943. The next prime is 1000041997. The reversal of 1000041984 is 4891400001.

1000041984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22347 + ... + 49994.

It is an arithmetic number, because the mean of its divisors is an integer number (37002933).

Almost surely, 21000041984 is an apocalyptic number.

It is an amenable number.

1000041984 is an abundant number, since it is smaller than the sum of its proper divisors (1960192656).

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

1000041984 is an frugal number, since it uses more digits than its factorization.

1000041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72368 (or 72346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1000041984 is about 31623.4404200429. The cubic root of 1000041984 is about 1000.0139944708.

Adding to 1000041984 its reverse (4891400001), we get a palindrome (5891441985).

It can be divided in two parts, 10000 and 41984, that added together give a square (51984 = 2282).

The spelling of 1000041984 in words is "one billion, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 72341 144682 217023 289364 434046 578728 651069 868092 1157456 1302138 1736184 1953207 2314912 2604276 3472368 3906414 4629824 5208552 6944736 7812828 9259648 10417104 13889472 15625656 18519296 20834208 27778944 31251312 37038592 41668416 55557888 62502624 83336832 111115776 125005248 166673664 250010496 333347328 500020992 1000041984