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4869188928 = 26329787149
BaseRepresentation
bin1001000100011100…
…11110110101000000
3110120100020102111200
410202032132311000
534433003021203
62123055341200
7231443265042
oct44216366500
913510212450
104869188928
11207959178a
12b3a821800
135c7a1aba6
1434296da92
151d77179a3
hex12239ed40

4869188928 has 84 divisors (see below), whose sum is σ = 14100695700. Its totient is φ = 1606311936.

The previous prime is 4869188927. The next prime is 4869188939. The reversal of 4869188928 is 8298819684.

It can be written as a sum of positive squares in 2 ways, for example, as 1515389184 + 3353799744 = 38928^2 + 57912^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4869188927) 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, 12298 + ... + 99446.

It is an arithmetic number, because the mean of its divisors is an integer number (167865425).

Almost surely, 24869188928 is an apocalyptic number.

4869188928 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 4869188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050347850).

4869188928 is an abundant number, since it is smaller than the sum of its proper divisors (9231506772).

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

4869188928 is a wasteful number, since it uses less digits than its factorization.

4869188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87264 (or 87251 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The square root of 4869188928 is about 69779.5738594039. The cubic root of 4869188928 is about 1694.9317246104.

The spelling of 4869188928 in words is "four billion, eight hundred sixty-nine million, one hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872 87149 174298 261447 348596 522894 697192 784341 1045788 1394384 1568682 2091576 2788768 3137364 4183152 5577536 6274728 8366304 8453453 12549456 16732608 16906906 25098912 25360359 33813812 50197824 50720718 67627624 76081077 101441436 135255248 152162154 202882872 270510496 304324308 405765744 541020992 608648616 811531488 1217297232 1623062976 2434594464 4869188928