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4453425120 = 253510318999
BaseRepresentation
bin1000010010111000…
…11101111111100000
3102111100220102210010
410021130131333200
533110034100440
62013524204520
7215234326464
oct41134357740
912440812703
104453425120
11198592a231
12a43539740
1355c84a3c1
143036644a4
151b0e8d580
hex10971dfe0

4453425120 has 96 divisors (see below), whose sum is σ = 14043456000. Its totient is φ = 1186296320.

The previous prime is 4453425101. The next prime is 4453425121. The reversal of 4453425120 is 215243544.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4453425121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490381 + ... + 499379.

It is an arithmetic number, because the mean of its divisors is an integer number (146286000).

Almost surely, 24453425120 is an apocalyptic number.

4453425120 is a gapful number since it is divisible by the number (40) 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 4453425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021728000).

4453425120 is an abundant number, since it is smaller than the sum of its proper divisors (9590030880).

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

4453425120 is a wasteful number, since it uses less digits than its factorization.

4453425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4453425120 is about 66733.9877423791. The cubic root of 4453425120 is about 1645.2480503493.

Adding to 4453425120 its reverse (215243544), we get a palindrome (4668668664).

The spelling of 4453425120 in words is "four billion, four hundred fifty-three million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1031 2062 3093 4124 5155 6186 8248 8999 10310 12372 15465 16496 17998 20620 24744 26997 30930 32992 35996 41240 44995 49488 53994 61860 71992 82480 89990 98976 107988 123720 134985 143984 164960 179980 215976 247440 269970 287968 359960 431952 494880 539940 719920 863904 1079880 1439840 2159760 4319520 9277969 18555938 27833907 37111876 46389845 55667814 74223752 92779690 111335628 139169535 148447504 185559380 222671256 278339070 296895008 371118760 445342512 556678140 742237520 890685024 1113356280 1484475040 2226712560 4453425120