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2838150480 = 2435112713967
BaseRepresentation
bin1010100100101010…
…1011110101010000
321022210110222112110
42221022223311100
521303031303410
61145343225320
7130221611124
oct25112536520
97283428473
102838150480
111227075510
126725a8240
13362cc6ca9
141ccd15584
15119273720
hexa92abd50

2838150480 has 160 divisors (see below), whose sum is σ = 9635954688. Its totient is φ = 685324800.

The previous prime is 2838150449. The next prime is 2838150487. The reversal of 2838150480 is 840518382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838150487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713457 + ... + 717423.

Almost surely, 22838150480 is an apocalyptic number.

2838150480 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 2838150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817977344).

2838150480 is an abundant number, since it is smaller than the sum of its proper divisors (6797804208).

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

2838150480 is a wasteful number, since it uses less digits than its factorization.

2838150480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2838150480 is about 53274.2947395834. The cubic root of 2838150480 is about 1415.8322681081.

The spelling of 2838150480 in words is "two billion, eight hundred thirty-eight million, one hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 271 330 440 528 542 660 813 880 1084 1320 1355 1626 2168 2640 2710 2981 3252 3967 4065 4336 5420 5962 6504 7934 8130 8943 10840 11901 11924 13008 14905 15868 16260 17886 19835 21680 23802 23848 29810 31736 32520 35772 39670 43637 44715 47604 47696 59505 59620 63472 65040 71544 79340 87274 89430 95208 119010 119240 130911 143088 158680 174548 178860 190416 218185 238020 238480 261822 317360 349096 357720 436370 476040 523644 654555 698192 715440 872740 952080 1047288 1075057 1309110 1745480 2094576 2150114 2618220 3225171 3490960 4300228 5236440 5375285 6450342 8600456 10472880 10750570 11825627 12900684 16125855 17200912 21501140 23651254 25801368 32251710 35476881 43002280 47302508 51602736 59128135 64503420 70953762 86004560 94605016 118256270 129006840 141907524 177384405 189210032 236512540 258013680 283815048 354768810 473025080 567630096 709537620 946050160 1419075240 2838150480