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2878640280 = 2332523933457
BaseRepresentation
bin1010101110010100…
…1001000010011000
321102121200002002200
42223211021002120
521343412442110
61153351130200
7131223016155
oct25345110230
97377602080
102878640280
111247a1005a
12684073960
1336b502759
141d445522c
1511cac06c0
hexab949098

2878640280 has 96 divisors (see below), whose sum is σ = 9395006400. Its totient is φ = 764402688.

The previous prime is 2878640269. The next prime is 2878640287. The reversal of 2878640280 is 820468782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878640287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69312 + ... + 102768.

It is an arithmetic number, because the mean of its divisors is an integer number (97864650).

Almost surely, 22878640280 is an apocalyptic number.

2878640280 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 2878640280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697503200).

2878640280 is an abundant number, since it is smaller than the sum of its proper divisors (6516366120).

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

2878640280 is a wasteful number, since it uses less digits than its factorization.

2878640280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33713 (or 33706 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2878640280 is about 53652.9615212432. The cubic root of 2878640280 is about 1422.5333801160.

The spelling of 2878640280 in words is "two billion, eight hundred seventy-eight million, six hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 7170 8604 9560 10755 14340 17208 21510 28680 33457 43020 66914 86040 100371 133828 167285 200742 267656 301113 334570 401484 501855 602226 669140 802968 1003710 1204452 1338280 1505565 2007420 2408904 3011130 4014840 6022260 7996223 12044520 15992446 23988669 31984892 39981115 47977338 63969784 71966007 79962230 95954676 119943345 143932014 159924460 191909352 239886690 287864028 319848920 359830035 479773380 575728056 719660070 959546760 1439320140 2878640280