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8050354480 = 2457101317449
BaseRepresentation
bin1110111111101011…
…01010100100110000
3202210001011101021001
413133311222210300
5112441342320410
63410455011344
7403331612140
oct73765524460
922701141231
108050354480
113461240523
121688069b54
139b3ac397c
14565254920
15321b4533a
hex1dfd6a930

8050354480 has 160 divisors (see below), whose sum is σ = 21719145600. Its totient is φ = 2718105600.

The previous prime is 8050354463. The next prime is 8050354489. The reversal of 8050354480 is 844530508.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8050354489) 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 31 ways as a sum of consecutive naturals, for example, 17929296 + ... + 17929744.

It is an arithmetic number, because the mean of its divisors is an integer number (135744660).

Almost surely, 28050354480 is an apocalyptic number.

8050354480 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 8050354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859572800).

8050354480 is an abundant number, since it is smaller than the sum of its proper divisors (13668791120).

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

8050354480 is a wasteful number, since it uses less digits than its factorization.

8050354480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 8050354480 is about 89723.7676426932. The cubic root of 8050354480 is about 2004.1874332493.

Adding to 8050354480 its reverse (844530508), we get a palindrome (8894884988).

The spelling of 8050354480 in words is "eight billion, fifty million, three hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 317 404 449 505 560 634 707 808 898 1010 1268 1414 1585 1616 1796 2020 2219 2245 2536 2828 3143 3170 3535 3592 4040 4438 4490 5072 5656 6286 6340 7070 7184 8080 8876 8980 11095 11312 12572 12680 14140 15715 17752 17960 22190 25144 25360 28280 31430 32017 35504 35920 44380 45349 50288 56560 62860 64034 88760 90698 125720 128068 142333 160085 177520 181396 224119 226745 251440 256136 284666 317443 320170 362792 448238 453490 512272 569332 634886 640340 711665 725584 896476 906980 996331 1120595 1138664 1269772 1280680 1423330 1587215 1792952 1813960 1992662 2241190 2277328 2539544 2561360 2846660 3174430 3585904 3627920 3985324 4482380 4981655 5079088 5693320 6348860 7970648 8964760 9963310 11386640 12697720 14375633 15941296 17929520 19926620 25395440 28751266 39853240 57502532 71878165 79706480 100629431 115005064 143756330 201258862 230010128 287512660 402517724 503147155 575025320 805035448 1006294310 1150050640 1610070896 2012588620 4025177240 8050354480