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3902425488 = 2432138772377
BaseRepresentation
bin1110100010011010…
…0100100110010000
3101001222002202101100
43220212210212100
530443010103423
61443122304400
7165464032533
oct35046444620
911058082340
103902425488
1117228aa035
1290aab8100
134a2649c10
142903d4a1a
1517c8ee343
hexe89a4990

3902425488 has 120 divisors (see below), whose sum is σ = 11779841528. Its totient is φ = 1198872576.

The previous prime is 3902425487. The next prime is 3902425493. The reversal of 3902425488 is 8845242093.

3902425488 is a `hidden beast` number, since 390 + 2 + 4 + 254 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 418120704 + 3484304784 = 20448^2 + 59028^2 .

It is not an unprimeable number, because it can be changed into a prime (3902425487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640556 + ... + 1642932.

Almost surely, 23902425488 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 3902425488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889920764).

3902425488 is an abundant number, since it is smaller than the sum of its proper divisors (7877416040).

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

3902425488 is a wasteful number, since it uses less digits than its factorization.

3902425488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3902425488 is about 62469.3964113629. The cubic root of 3902425488 is about 1574.3871623296.

The spelling of 3902425488 in words is "three billion, nine hundred two million, four hundred twenty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 877 936 1754 1872 2377 2631 3508 4754 5262 7016 7131 7893 9508 10524 11401 14032 14262 15786 19016 21048 21393 22802 28524 30901 31572 34203 38032 42096 42786 45604 57048 61802 63144 68406 85572 91208 92703 102609 114096 123604 126288 136812 171144 182416 185406 205218 247208 273624 278109 342288 370812 410436 494416 547248 556218 741624 820872 1112436 1483248 1641744 2084629 2224872 4169258 4449744 6253887 8338516 12507774 16677032 18761661 25015548 27100177 33354064 37523322 50031096 54200354 75046644 81300531 100062192 108400708 150093288 162601062 216801416 243901593 300186576 325202124 433602832 487803186 650404248 975606372 1300808496 1951212744 3902425488