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4149028608 = 28329311599
BaseRepresentation
bin1111011101001101…
…0010011100000000
3101201011010111021020
43313103102130000
531444122403413
61523412025440
7204550106214
oct36723223400
911634114236
104149028608
11183a02266a
12979602280
1351177041a
142b5068944
151943b1c23
hexf74d2700

4149028608 has 144 divisors (see below), whose sum is σ = 11479104000. Its totient is φ = 1328803840.

The previous prime is 4149028607. The next prime is 4149028669. The reversal of 4149028608 is 8068209414.

It is a self number, because there is not a number n which added to its sum of digits gives 4149028608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149028607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6926293 + ... + 6926891.

It is an arithmetic number, because the mean of its divisors is an integer number (79716000).

Almost surely, 24149028608 is an apocalyptic number.

4149028608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552000).

4149028608 is an abundant number, since it is smaller than the sum of its proper divisors (7330075392).

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

4149028608 is a wasteful number, since it uses less digits than its factorization.

4149028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 4149028608 is about 64412.9537282680. The cubic root of 4149028608 is about 1606.8751817742.

The spelling of 4149028608 in words is "four billion, one hundred forty-nine million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 311 348 384 464 599 622 696 768 928 933 1198 1244 1392 1797 1856 1866 2396 2488 2784 3594 3712 3732 4792 4976 5568 7188 7424 7464 9019 9584 9952 11136 14376 14928 17371 18038 19168 19904 22272 27057 28752 29856 34742 36076 38336 39808 52113 54114 57504 59712 69484 72152 76672 79616 104226 108228 115008 119424 138968 144304 153344 186289 208452 216456 230016 238848 277936 288608 372578 416904 432912 460032 555872 558867 577216 745156 833808 865824 1111744 1117734 1154432 1490312 1667616 1731648 2223488 2235468 2308864 2980624 3335232 3463296 4446976 4470936 5402381 5961248 6670464 6926592 8941872 10804762 11922496 13340928 16207143 17883744 21609524 23844992 32414286 35767488 43219048 47689984 64828572 71534976 86438096 129657144 143069952 172876192 259314288 345752384 518628576 691504768 1037257152 1383009536 2074514304 4149028608