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5625030132 = 2232539972957
BaseRepresentation
bin1010011110100011…
…10010010111110100
3112112000111010201100
411033101302113310
543010001431012
62330055530100
7256251652521
oct51721622764
915460433640
105625030132
112427201437
12110b989930
136b84ac2c7
143b50c2148
1522dc6a8dc
hex14f4725f4

5625030132 has 72 divisors (see below), whose sum is σ = 14506540776. Its totient is φ = 1837165824.

The previous prime is 5625030109. The next prime is 5625030133. The reversal of 5625030132 is 2310305265.

5625030132 is a `hidden beast` number, since 5 + 625 + 0 + 3 + 0 + 1 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1481018256 + 4144011876 = 38484^2 + 64374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5625030096 and 5625030105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5625030133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900798 + ... + 1903754.

It is an arithmetic number, because the mean of its divisors is an integer number (201479733).

Almost surely, 25625030132 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 5625030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253270388).

5625030132 is an abundant number, since it is smaller than the sum of its proper divisors (8881510644).

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

5625030132 is a wasteful number, since it uses less digits than its factorization.

5625030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5625030132 is about 75000.2008797310. The cubic root of 5625030132 is about 1778.4498278337.

Adding to 5625030132 its reverse (2310305265), we get a palindrome (7935335397).

The spelling of 5625030132 in words is "five billion, six hundred twenty-five million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 997 1908 1994 2957 2991 3988 5914 5982 8871 8973 11828 11964 17742 17946 26613 35484 35892 52841 53226 105682 106452 156721 158523 211364 313442 317046 470163 475569 626884 634092 940326 951138 1410489 1880652 1902276 2820978 2948129 5641956 5896258 8844387 11792516 17688774 26533161 35377548 53066322 106132644 156250837 312501674 468752511 625003348 937505022 1406257533 1875010044 2812515066 5625030132