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2780503425 = 3252717113919
BaseRepresentation
bin1010010110111011…
…0001110110000001
321011210000012122100
42211232301312001
521143302102200
61135523501013
7125621613660
oct24556616601
97153005570
102780503425
1111a7581417
12657227769
13354091ccb
141c53cadd7
15114187d00
hexa5bb1d81

2780503425 has 144 divisors (see below), whose sum is σ = 6086396160. Its totient is φ = 1184440320.

The previous prime is 2780503423. The next prime is 2780503447. The reversal of 2780503425 is 5243050872.

2780503425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2780503425 - 21 = 2780503423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2780503425.

It is not an unprimeable number, because it can be changed into a prime (2780503423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3025116 + ... + 3026034.

It is an arithmetic number, because the mean of its divisors is an integer number (42266640).

Almost surely, 22780503425 is an apocalyptic number.

2780503425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2780503425 is an abundant number, since it is smaller than the sum of its proper divisors (3305892735).

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

2780503425 is a wasteful number, since it uses less digits than its factorization.

2780503425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2780503425 is about 52730.4790894223. The cubic root of 2780503425 is about 1406.1807385147.

The spelling of 2780503425 in words is "two billion, seven hundred eighty million, five hundred three thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 113 119 153 175 225 255 315 339 357 425 525 565 595 765 791 919 1017 1071 1275 1575 1695 1785 1921 2373 2757 2825 2975 3825 3955 4595 5085 5355 5763 6433 7119 8271 8475 8925 9605 11865 13447 13785 15623 17289 19299 19775 22975 25425 26775 28815 32165 35595 40341 41355 46869 48025 57897 59325 67235 68925 78115 86445 96495 103847 109361 121023 140607 144075 160825 177975 201705 206775 234345 289485 311541 328083 336175 390575 432225 482475 519235 546805 605115 703035 726929 934623 984249 1008525 1171725 1447425 1557705 1640415 1765399 2180787 2596175 2734025 3025575 3515175 3634645 4673115 4921245 5296197 6542361 7788525 8202075 8826995 10903935 12357793 15888591 18173225 23365575 24606225 26480985 32711805 37073379 44134975 54519675 61788965 79442955 111220137 132404925 163559025 185366895 308944825 397214775 556100685 926834475 2780503425