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8480840000 = 26541911159
BaseRepresentation
bin1111110010111111…
…10101100101000000
3210220001012022101012
413321133311211000
5114332043340000
63521313500052
7420106644023
oct77137654500
923801168335
108480840000
113662238686
121788271628
13a5204a229
145a64b31ba
1534982b735
hex1f97f5940

8480840000 has 140 divisors (see below), whose sum is σ = 22138538400. Its totient is φ = 3213504000.

The previous prime is 8480839951. The next prime is 8480840003. The reversal of 8480840000 is 480848.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480840003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 754421 + ... + 765579.

Almost surely, 28480840000 is an apocalyptic number.

8480840000 is a gapful number since it is divisible by the number (80) 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 8480840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069269200).

8480840000 is an abundant number, since it is smaller than the sum of its proper divisors (13657698400).

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

8480840000 is a wasteful number, since it uses less digits than its factorization.

8480840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8480840000 is about 92091.4762613783. The cubic root of 8480840000 is about 2039.2929755435.

The spelling of 8480840000 in words is "eight billion, four hundred eighty million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11159 11875 15200 19000 20000 22318 23750 30400 38000 40000 44636 47500 55795 76000 89272 95000 111590 152000 178544 190000 212021 223180 278975 357088 380000 424042 446360 557950 714176 760000 848084 892720 1060105 1115900 1394875 1696168 1785440 2120210 2231800 2789750 3392336 3570880 4240420 4463600 5300525 5579500 6784672 6974375 8480840 8927200 10601050 11159000 13569344 13948750 16961680 17854400 21202100 22318000 26502625 27897500 33923360 42404200 44636000 53005250 55795000 67846720 84808400 89272000 106010500 111590000 132513125 169616800 212021000 223180000 265026250 339233600 424042000 446360000 530052500 848084000 1060105000 1696168000 2120210000 4240420000 8480840000