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4525153000 = 235319332341
BaseRepresentation
bin1000011011011100…
…00101101011101000
3102200100212120221021
410031232011223220
533231414344000
62025005422224
7220065110614
oct41556055350
912610776837
104525153000
111a12370475
12a6356a974
13571672534
1430cdb6344
151b740b11a
hex10db85ae8

4525153000 has 64 divisors (see below), whose sum is σ = 10598861520. Its totient is φ = 1808352000.

The previous prime is 4525152959. The next prime is 4525153001. The reversal of 4525153000 is 3515254.

It can be written as a sum of positive squares in 8 ways, for example, as 531671364 + 3993481636 = 23058^2 + 63194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4525153001) 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, 1931830 + ... + 1934170.

Almost surely, 24525153000 is an apocalyptic number.

4525153000 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 4525153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299430760).

4525153000 is an abundant number, since it is smaller than the sum of its proper divisors (6073708520).

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

4525153000 is a wasteful number, since it uses less digits than its factorization.

4525153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 4525153000 is about 67269.2574657993. The cubic root of 4525153000 is about 1654.0339618923.

Adding to 4525153000 its reverse (3515254), we get a palindrome (4528668254).

The spelling of 4525153000 in words is "four billion, five hundred twenty-five million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1933 2341 3866 4682 7732 9364 9665 11705 15464 18728 19330 23410 38660 46820 48325 58525 77320 93640 96650 117050 193300 234100 241625 292625 386600 468200 483250 585250 966500 1170500 1933000 2341000 4525153 9050306 18100612 22625765 36201224 45251530 90503060 113128825 181006120 226257650 452515300 565644125 905030600 1131288250 2262576500 4525153000