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275484480 = 2635733931
BaseRepresentation
bin10000011010111…
…000111101000000
3201012101001122220
4100122320331000
51031011000410
643200331040
76553402515
oct2032707500
9635331586
10275484480
1113155a627
1278313a80
13450c628b
142883130c
15192ba070
hex106b8f40

275484480 has 112 divisors (see below), whose sum is σ = 886870464. Its totient is φ = 72437760.

The previous prime is 275484403. The next prime is 275484487. The reversal of 275484480 is 84484572.

275484480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275484487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68115 + ... + 72045.

Almost surely, 2275484480 is an apocalyptic number.

275484480 is a gapful number since it is divisible by the number (20) 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 275484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443435232).

275484480 is an abundant number, since it is smaller than the sum of its proper divisors (611385984).

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

275484480 is a wasteful number, since it uses less digits than its factorization.

275484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 275484480 is about 16597.7251453324. The cubic root of 275484480 is about 650.6773845617.

The spelling of 275484480 in words is "two hundred seventy-five million, four hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1460 1752 2190 2336 2920 3504 3931 4380 4672 5840 7008 7862 8760 11680 11793 14016 15724 17520 19655 23360 23586 31448 35040 39310 47172 58965 62896 70080 78620 94344 117930 125792 157240 188688 235860 251584 286963 314480 377376 471720 573926 628960 754752 860889 943440 1147852 1257920 1434815 1721778 1886880 2295704 2869630 3443556 3773760 4304445 4591408 5739260 6887112 8608890 9182816 11478520 13774224 17217780 18365632 22957040 27548448 34435560 45914080 55096896 68871120 91828160 137742240 275484480