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8052480 = 28335233
BaseRepresentation
bin11110101101111100000000
3120011002221000
4132231330000
54030134410
6444332000
7125305422
oct36557400
916132830
108052480
1145aaa47
122844000
13188c2a7
1410d8812
15a90dc0
hex7adf00

8052480 has 144 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 2138112.

The previous prime is 8052479. The next prime is 8052487. The reversal of 8052480 is 842508.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052487) 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, 34444 + ... + 34676.

It is an arithmetic number, because the mean of its divisors is an integer number (199290).

Almost surely, 28052480 is an apocalyptic number.

8052480 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 8052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).

8052480 is an abundant number, since it is smaller than the sum of its proper divisors (20645280).

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

8052480 is a wasteful number, since it uses less digits than its factorization.

8052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8052480 is about 2837.6892007406. The cubic root of 8052480 is about 200.4363805011.

Adding to 8052480 its reverse (842508), we get a palindrome (8894988).

The spelling of 8052480 in words is "eight million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 233 240 256 270 288 320 360 384 432 466 480 540 576 640 699 720 768 864 932 960 1080 1152 1165 1280 1398 1440 1728 1864 1920 2097 2160 2304 2330 2796 2880 3456 3495 3728 3840 4194 4320 4660 5592 5760 6291 6912 6990 7456 8388 8640 9320 10485 11184 11520 12582 13980 14912 16776 17280 18640 20970 22368 25164 27960 29824 31455 33552 34560 37280 41940 44736 50328 55920 59648 62910 67104 74560 83880 89472 100656 111840 125820 134208 149120 167760 178944 201312 223680 251640 268416 298240 335520 402624 447360 503280 536832 671040 805248 894720 1006560 1342080 1610496 2013120 2684160 4026240 8052480