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2671676928 = 29321633557
BaseRepresentation
bin1001111100111110…
…1000111000000000
320220012020020202100
42133033220320000
520432422130203
61121035150400
7123130610364
oct23717507000
96805206670
102671676928
111151101468
126268a5400
1333767ab2b
141b4b7d2a4
1510983cea3
hex9f3e8e00

2671676928 has 120 divisors (see below), whose sum is σ = 7760126088. Its totient is φ = 884846592.

The previous prime is 2671676921. The next prime is 2671676929. The reversal of 2671676928 is 8296761762.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671676921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749326 + ... + 752882.

Almost surely, 22671676928 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 2671676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880063044).

2671676928 is an abundant number, since it is smaller than the sum of its proper divisors (5088449160).

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

2671676928 is a wasteful number, since it uses less digits than its factorization.

2671676928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3725 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2671676928 is about 51688.2668310711. The cubic root of 2671676928 is about 1387.5904856499.

The spelling of 2671676928 in words is "two billion, six hundred seventy-one million, six hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 512 576 652 768 978 1152 1304 1467 1536 1956 2304 2608 2934 3557 3912 4608 5216 5868 7114 7824 10432 10671 11736 14228 15648 20864 21342 23472 28456 31296 32013 41728 42684 46944 56912 62592 64026 83456 85368 93888 113824 125184 128052 170736 187776 227648 250368 256104 341472 375552 455296 512208 579791 682944 751104 910592 1024416 1159582 1365888 1739373 1821184 2048832 2319164 2731776 3478746 4097664 4638328 5218119 5463552 6957492 8195328 9276656 10436238 13914984 16390656 18553312 20872476 27829968 37106624 41744952 55659936 74213248 83489904 111319872 148426496 166979808 222639744 296852992 333959616 445279488 667919232 890558976 1335838464 2671676928