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4525460352 = 273273143421
BaseRepresentation
bin1000011011011110…
…10000101110000000
3102200101110012112200
410031233100232000
533232004212402
62025020153200
7220100530650
oct41557205600
912611405480
104525460352
111a12560386
12a63698800
1357174c3ba
1430d056360
151b746c21c
hex10dbd0b80

4525460352 has 384 divisors, whose sum is σ = 15757547520. Its totient is φ = 1219276800.

The previous prime is 4525460351. The next prime is 4525460389. The reversal of 4525460352 is 2530645254.

4525460352 is a `hidden beast` number, since 45 + 2 + 5 + 4 + 603 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (4525460351) 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, 10749102 + ... + 10749522.

It is an arithmetic number, because the mean of its divisors is an integer number (41035280).

Almost surely, 24525460352 is an apocalyptic number.

4525460352 is a gapful number since it is divisible by the number (42) 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 4525460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878773760).

4525460352 is an abundant number, since it is smaller than the sum of its proper divisors (11232087168).

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

4525460352 is a wasteful number, since it uses less digits than its factorization.

4525460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4525460352 is about 67271.5419178125. The cubic root of 4525460352 is about 1654.0714088131.

The spelling of 4525460352 in words is "four billion, five hundred twenty-five million, four hundred sixty thousand, three hundred fifty-two".