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4082847552 = 26337337537
BaseRepresentation
bin1111001101011011…
…0100111101000000
3101112112121010221000
43303112310331000
531330202110202
61513045332000
7203114426430
oct36326647500
911475533830
104082847552
11180572a883
1295b407000
13500b3ac34
142aa35c2c0
1518d68c91c
hexf35b4f40

4082847552 has 112 divisors (see below), whose sum is σ = 13717544320. Its totient is φ = 1166524416.

The previous prime is 4082847539. The next prime is 4082847649. The reversal of 4082847552 is 2557482804.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4082847498 and 4082847507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156673 + ... + 180864.

Almost surely, 24082847552 is an apocalyptic number.

4082847552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4082847552 is an abundant number, since it is smaller than the sum of its proper divisors (9634696768).

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

4082847552 is a wasteful number, since it uses less digits than its factorization.

4082847552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337565 (or 337549 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 4082847552 is about 63897.1638807232. The cubic root of 4082847552 is about 1598.2856053546.

The spelling of 4082847552 in words is "four billion, eighty-two million, eight hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 337537 675074 1012611 1350148 2025222 2362759 2700296 3037833 4050444 4725518 5400592 6075666 7088277 8100888 9113499 9451036 10801184 12151332 14176554 16201776 18226998 18902072 21264831 21602368 24302664 28353108 32403552 36453996 37804144 42529662 48605328 56706216 63794493 64807104 72907992 75608288 85059324 97210656 113412432 127588986 145815984 151216576 170118648 194421312 226824864 255177972 291631968 340237296 453649728 510355944 583263936 680474592 1020711888 1360949184 2041423776 4082847552