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2781000704 = 21029711319
BaseRepresentation
bin1010010111000010…
…1011010000000000
321011210221110210002
42211300223100000
521143414010304
61135542255132
7125626054526
oct24560532000
97153843702
102781000704
1111a7890a99
126574274a8
13354207461
141c54ba316
1511423531e
hexa5c2b400

2781000704 has 88 divisors (see below), whose sum is σ = 5836406400. Its totient is φ = 1322639360.

The previous prime is 2781000671. The next prime is 2781000707. The reversal of 2781000704 is 4070001872.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781000707) by changing a digit.

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, 2107757 + ... + 2109075.

It is an arithmetic number, because the mean of its divisors is an integer number (66322800).

Almost surely, 22781000704 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 2781000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918203200).

2781000704 is an abundant number, since it is smaller than the sum of its proper divisors (3055405696).

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

2781000704 is a wasteful number, since it uses less digits than its factorization.

2781000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 2781000704 is about 52735.1941686005. The cubic root of 2781000704 is about 1406.2645629596.

The spelling of 2781000704 in words is "two billion, seven hundred eighty-one million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 58 64 71 116 128 142 232 256 284 464 512 568 928 1024 1136 1319 1856 2059 2272 2638 3712 4118 4544 5276 7424 8236 9088 10552 14848 16472 18176 21104 29696 32944 36352 38251 42208 65888 72704 76502 84416 93649 131776 153004 168832 187298 263552 306008 337664 374596 527104 612016 675328 749192 1054208 1224032 1350656 1498384 2108416 2448064 2715821 2996768 4896128 5431642 5993536 9792256 10863284 11987072 19584512 21726568 23974144 39169024 43453136 47948288 86906272 95896576 173812544 347625088 695250176 1390500352 2781000704