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3891228672 = 21231572017
BaseRepresentation
bin1110011111101111…
…0111000000000000
3101001012000220020110
43213323313000000
530432123304142
61442042311320
7165266620002
oct34773670000
911035026213
103891228672
111717551771
129071b8540
134a0229696
1428cb1c372
1517b93b99c
hexe7ef7000

3891228672 has 104 divisors (see below), whose sum is σ = 10446604816. Its totient is φ = 1288175616.

The previous prime is 3891228637. The next prime is 3891228683. The reversal of 3891228672 is 2768221983.

3891228672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1928208 + ... + 1930224.

Almost surely, 23891228672 is an apocalyptic number.

3891228672 is a gapful number since it is divisible by the number (32) 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 3891228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223302408).

3891228672 is an abundant number, since it is smaller than the sum of its proper divisors (6555376144).

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

3891228672 is a wasteful number, since it uses less digits than its factorization.

3891228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2179 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 3891228672 is about 62379.7136255049. The cubic root of 3891228672 is about 1572.8799791815.

The spelling of 3891228672 in words is "three billion, eight hundred ninety-one million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2017 2048 2512 3072 3768 4034 4096 5024 6051 6144 7536 8068 10048 12102 12288 15072 16136 20096 24204 30144 32272 40192 48408 60288 64544 80384 96816 120576 129088 160768 193632 241152 258176 316669 321536 387264 482304 516352 633338 643072 774528 950007 964608 1032704 1266676 1549056 1900014 1929216 2065408 2533352 3098112 3800028 4130816 5066704 6196224 7600056 8261632 10133408 12392448 15200112 20266816 24784896 30400224 40533632 60800448 81067264 121600896 162134528 243201792 324269056 486403584 648538112 972807168 1297076224 1945614336 3891228672