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2082823440 = 243514515981
BaseRepresentation
bin111110000100101…
…0101110100010000
312101011012101121220
41330021111310100
513231200322230
6542402045040
7102420464355
oct17411256420
95334171556
102082823440
11979777095
124a1649780
13272685909
1415a89862c
15c2cc2d10
hex7c255d10

2082823440 has 80 divisors (see below), whose sum is σ = 6462282816. Its totient is φ = 554944000.

The previous prime is 2082823433. The next prime is 2082823451. The reversal of 2082823440 is 443282802.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345250 + ... + 351230.

Almost surely, 22082823440 is an apocalyptic number.

2082823440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082823440 is an abundant number, since it is smaller than the sum of its proper divisors (4379459376).

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

2082823440 is a wasteful number, since it uses less digits than its factorization.

2082823440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2082823440 is about 45637.9605153429. The cubic root of 2082823440 is about 1277.0781825352.

The spelling of 2082823440 in words is "two billion, eighty-two million, eight hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1451 2902 4353 5804 5981 7255 8706 11608 11962 14510 17412 17943 21765 23216 23924 29020 29905 34824 35886 43530 47848 58040 59810 69648 71772 87060 89715 95696 116080 119620 143544 174120 179430 239240 287088 348240 358860 478480 717720 1435440 8678431 17356862 26035293 34713724 43392155 52070586 69427448 86784310 104141172 130176465 138854896 173568620 208282344 260352930 347137240 416564688 520705860 694274480 1041411720 2082823440