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2056329744 = 243741149269
BaseRepresentation
bin111101010010001…
…0001101000010000
312022022100101002220
41322210101220100
513202410022434
6540014141040
7101646341310
oct17244215020
95268311086
102056329744
11965820a77
124947b1780
1326a03a881
1415715d440
15c07dcd49
hex7a911a10

2056329744 has 80 divisors (see below), whose sum is σ = 6219185280. Its totient is φ = 573189120.

The previous prime is 2056329719. The next prime is 2056329787. The reversal of 2056329744 is 4479236502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2056329696 and 2056329705.

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, 60859 + ... + 88410.

It is an arithmetic number, because the mean of its divisors is an integer number (77739816).

Almost surely, 22056329744 is an apocalyptic number.

2056329744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2056329744 is an abundant number, since it is smaller than the sum of its proper divisors (4162855536).

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

2056329744 is a wasteful number, since it uses less digits than its factorization.

2056329744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149328 (or 149322 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2056329744 is about 45346.7721453247. The cubic root of 2056329744 is about 1271.6402111255.

The spelling of 2056329744 in words is "two billion, fifty-six million, three hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 149269 298538 447807 597076 895614 1044883 1194152 1791228 2089766 2388304 3134649 3582456 4179532 6120029 6269298 7164912 8359064 12240058 12538596 16718128 18360087 24480116 25077192 36720174 42840203 48960232 50154384 73440348 85680406 97920464 128520609 146880696 171360812 257041218 293761392 342721624 514082436 685443248 1028164872 2056329744