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2530763352 = 233513239419
BaseRepresentation
bin1001011011011000…
…0110001001011000
320112101002002200000
42112312012021120
520140333411402
61055043013000
7116500063545
oct22666061130
96471062600
102530763352
111089605a67
125a766a160
13314410a10
141a017bbcc
15ec2a5c1c
hex96d86258

2530763352 has 192 divisors, whose sum is σ = 7705152000. Its totient is φ = 773587584.

The previous prime is 2530763317. The next prime is 2530763359. The reversal of 2530763352 is 2533670352.

2530763352 is a `hidden beast` number, since 2 + 530 + 76 + 3 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530763359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6039799 + ... + 6040217.

It is an arithmetic number, because the mean of its divisors is an integer number (40131000).

Almost surely, 22530763352 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 2530763352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576000).

2530763352 is an abundant number, since it is smaller than the sum of its proper divisors (5174388648).

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

2530763352 is a wasteful number, since it uses less digits than its factorization.

2530763352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 2530763352 is about 50306.6929145616. The cubic root of 2530763352 is about 1362.7531009422.

The spelling of 2530763352 in words is "two billion, five hundred thirty million, seven hundred sixty-three thousand, three hundred fifty-two".