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3291025472 = 267233110303
BaseRepresentation
bin1100010000101001…
…0001000001000000
322111100122102020022
43010022101001000
523220000303342
61302322033012
7144361153310
oct30412210100
98440572208
103291025472
111439775169
1277a1a8768
13405a8c467
14233121440
15143dcd9d2
hexc4291040

3291025472 has 112 divisors (see below), whose sum is σ = 8040087552. Its totient is φ = 1305469440.

The previous prime is 3291025471. The next prime is 3291025483. The reversal of 3291025472 is 2745201923.

It is a happy number.

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

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3291025471) 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, 314273 + ... + 324575.

It is an arithmetic number, because the mean of its divisors is an integer number (71786496).

Almost surely, 23291025472 is an apocalyptic number.

3291025472 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 3291025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020043776).

3291025472 is an abundant number, since it is smaller than the sum of its proper divisors (4749062080).

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

3291025472 is a wasteful number, since it uses less digits than its factorization.

3291025472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 3291025472 is about 57367.4600448721. The cubic root of 3291025472 is about 1487.4546986369.

The spelling of 3291025472 in words is "three billion, two hundred ninety-one million, twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 161 184 217 224 248 322 368 434 448 496 644 713 736 868 992 1288 1426 1472 1736 1984 2576 2852 3472 4991 5152 5704 6944 9982 10303 10304 11408 13888 19964 20606 22816 39928 41212 45632 72121 79856 82424 144242 159712 164848 236969 288484 319393 319424 329696 473938 576968 638786 659392 947876 1153936 1277572 1658783 1895752 2235751 2307872 2555144 3317566 3791504 4471502 4615744 5110288 6635132 7346039 7583008 8943004 10220576 13270264 14692078 15166016 17886008 20441152 26540528 29384156 35772016 51422273 53081056 58768312 71544032 102844546 106162112 117536624 143088064 205689092 235073248 411378184 470146496 822756368 1645512736 3291025472