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8528020992 = 29324145139
BaseRepresentation
bin1111111000100111…
…10100011000000000
3211000022222100112100
413330103310120000
5114431133132432
63530121030400
7421221660651
oct77423643000
924008870470
108528020992
113686933437
1217a0025400
13a5ba5948a
145ac875528
1534da4b07c
hex1fc4f4600

8528020992 has 120 divisors (see below), whose sum is σ = 25213308120. Its totient is φ = 2773278720.

The previous prime is 8528020927. The next prime is 8528020993. The reversal of 8528020992 is 2990208258.

8528020992 is a `hidden beast` number, since 85 + 280 + 209 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8528020993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166359 + ... + 211497.

It is an arithmetic number, because the mean of its divisors is an integer number (210110901).

Almost surely, 28528020992 is an apocalyptic number.

8528020992 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8528020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606654060).

8528020992 is an abundant number, since it is smaller than the sum of its proper divisors (16685287128).

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

8528020992 is a wasteful number, since it uses less digits than its factorization.

8528020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45204 (or 45185 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8528020992 is about 92347.2847029083. The cubic root of 8528020992 is about 2043.0676798901.

The spelling of 8528020992 in words is "eight billion, five hundred twenty-eight million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1152 1312 1476 1536 1968 2304 2624 2952 3936 4608 5248 5904 7872 10496 11808 15744 20992 23616 31488 45139 47232 62976 90278 94464 135417 180556 188928 270834 361112 406251 541668 722224 812502 1083336 1444448 1625004 1850699 2166672 2888896 3250008 3701398 4333344 5552097 5777792 6500016 7402796 8666688 11104194 11555584 13000032 14805592 16656291 17333376 22208388 23111168 26000064 29611184 33312582 34666752 44416776 52000128 59222368 66625164 69333504 88833552 104000256 118444736 133250328 177667104 208000512 236889472 266500656 355334208 473778944 533001312 710668416 947557888 1066002624 1421336832 2132005248 2842673664 4264010496 8528020992