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2532014532 = 2233413831493
BaseRepresentation
bin1001011011101011…
…0111100111000100
320112110102122222000
42112322313213010
520141143431112
61055125505300
7116513524365
oct22672674704
96473378860
102532014532
11108a28aaa3
125a7b72230
1331475b368
141a03c5b6c
15ec4517dc
hex96eb79c4

2532014532 has 96 divisors (see below), whose sum is σ = 6746664960. Its totient is φ = 820719360.

The previous prime is 2532014531. The next prime is 2532014533. The reversal of 2532014532 is 2354102352.

It is a happy number.

2532014532 is a `hidden beast` number, since 2 + 5 + 3 + 201 + 453 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2532014531) and next prime (2532014533).

It is a super-2 number, since 2×25320145322 = 12822195180518358048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2532014496 and 2532014505.

It is not an unprimeable number, because it can be changed into a prime (2532014531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695178 + ... + 1696670.

It is an arithmetic number, because the mean of its divisors is an integer number (70277760).

Almost surely, 22532014532 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 2532014532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373332480).

2532014532 is an abundant number, since it is smaller than the sum of its proper divisors (4214650428).

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

2532014532 is a wasteful number, since it uses less digits than its factorization.

2532014532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2532014532 is about 50319.1269002156. The cubic root of 2532014532 is about 1362.9776403768.

Adding to 2532014532 its reverse (2354102352), we get a palindrome (4886116884).

The spelling of 2532014532 in words is "two billion, five hundred thirty-two million, fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 383 492 738 766 1107 1149 1476 1493 1532 2214 2298 2986 3447 4428 4479 4596 5972 6894 8958 10341 13437 13788 15703 17916 20682 26874 31406 40311 41364 47109 53748 61213 62812 80622 94218 122426 141327 161244 183639 188436 244852 282654 367278 423981 550917 565308 571819 734556 847962 1101834 1143638 1652751 1695924 1715457 2203668 2287276 3305502 3430914 5146371 6611004 6861828 10292742 15439113 20585484 23444579 30878226 46889158 61756452 70333737 93778316 140667474 211001211 281334948 422002422 633003633 844004844 1266007266 2532014532