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2820642496 = 26722972741
BaseRepresentation
bin1010100000011111…
…1001011011000000
321021120112111002121
42220013321123000
521234041024441
61143520054024
7126620031340
oct25007713300
97246474077
102820642496
1112181a7501
12668764314
1335c4a6c39
141ca878d20
15117965dd1
hexa81f96c0

2820642496 has 56 divisors (see below), whose sum is σ = 6401933856. Its totient is φ = 1207879680.

The previous prime is 2820642479. The next prime is 2820642523. The reversal of 2820642496 is 6942460282.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×28206424962 = 15912048180482220032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027686 + ... + 1030426.

Almost surely, 22820642496 is an apocalyptic number.

It is an amenable number.

2820642496 is an abundant number, since it is smaller than the sum of its proper divisors (3581291360).

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

2820642496 is a wasteful number, since it uses less digits than its factorization.

2820642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 2820642496 is about 53109.7212946933. The cubic root of 2820642496 is about 1412.9149321202.

The spelling of 2820642496 in words is "two billion, eight hundred twenty million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2297 2741 4594 5482 9188 10964 16079 18376 19187 21928 32158 36752 38374 43856 64316 73504 76748 87712 128632 147008 153496 175424 257264 306992 514528 613984 1029056 1227968 6296077 12592154 25184308 44072539 50368616 88145078 100737232 176290156 201474464 352580312 402948928 705160624 1410321248 2820642496