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2820917632 = 271310511613
BaseRepresentation
bin1010100000100011…
…1100100110000000
321021121001110111211
42220020330212000
521234123331012
61143530015504
7126622255441
oct25010744600
97247043454
102820917632
111218375195
12668877594
1335c572240
141ca90b2c8
151179bc6a7
hexa823c980

2820917632 has 64 divisors (see below), whose sum is σ = 6061602960. Its totient is φ = 1299916800.

The previous prime is 2820917599. The next prime is 2820917647. The reversal of 2820917632 is 2367190282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748058 + ... + 1749670.

Almost surely, 22820917632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030801480).

2820917632 is an abundant number, since it is smaller than the sum of its proper divisors (3240685328).

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

2820917632 is a wasteful number, since it uses less digits than its factorization.

2820917632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2820917632 is about 53112.3114917813. The cubic root of 2820917632 is about 1412.9608709591.

The spelling of 2820917632 in words is "two billion, eight hundred twenty million, nine hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1051 1613 1664 2102 3226 4204 6452 8408 12904 13663 16816 20969 25808 27326 33632 41938 51616 54652 67264 83876 103232 109304 134528 167752 206464 218608 335504 437216 671008 874432 1342016 1695263 1748864 2684032 3390526 6781052 13562104 22038419 27124208 44076838 54248416 88153676 108496832 176307352 216993664 352614704 705229408 1410458816 2820917632