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2752502480 = 245721354013
BaseRepresentation
bin1010010000001111…
…1101101011010000
321002211022121120022
42210003331223100
521114120034410
61133043403012
7125131612400
oct24403755320
97084277508
102752502480
111192796942
12649983468
1334b339bc0
141c17bc800
151119a6455
hexa40fdad0

2752502480 has 120 divisors (see below), whose sum is σ = 8017189992. Its totient is φ = 871105536.

The previous prime is 2752502429. The next prime is 2752502497. The reversal of 2752502480 is 842052572.

It can be written as a sum of positive squares in 4 ways, for example, as 37258816 + 2715243664 = 6104^2 + 52108^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2752502480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23954 + ... + 77966.

Almost surely, 22752502480 is an apocalyptic number.

2752502480 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 2752502480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008594996).

2752502480 is an abundant number, since it is smaller than the sum of its proper divisors (5264687512).

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

2752502480 is a wasteful number, since it uses less digits than its factorization.

2752502480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54053 (or 54040 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 2752502480 is about 52464.2971934248. The cubic root of 2752502480 is about 1401.4445090542. Note that the first 3 decimals are identical.

The spelling of 2752502480 in words is "two billion, seven hundred fifty-two million, five hundred two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3640 3920 5096 6370 7280 10192 12740 25480 50960 54013 108026 216052 270065 378091 432104 540130 702169 756182 864208 1080260 1404338 1512364 1890455 2160520 2646637 2808676 3024728 3510845 3780910 4321040 4915183 5293274 5617352 6049456 7021690 7561820 9830366 10586548 11234704 13233185 14043380 15123640 19660732 21173096 24575915 26466370 28086760 30247280 34406281 39321464 42346192 49151830 52932740 56173520 68812562 78642928 98303660 105865480 137625124 172031405 196607320 211730960 275250248 344062810 393214640 550500496 688125620 1376251240 2752502480