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252447552 = 263271729127
BaseRepresentation
bin11110000110000…
…00101101000000
3122121000122221100
433003000231000
51004111310202
641014454400
76153524460
oct1703005500
9577018840
10252447552
1111a555645
1270664400
13403bb766
1425755ba0
151726941c
hexf0c0b40

252447552 has 336 divisors, whose sum is σ = 912936960. Its totient is φ = 65028096.

The previous prime is 252447527. The next prime is 252447553. The reversal of 252447552 is 255744252.

It is a tau number, because it is divible by the number of its divisors (336).

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 (252447553) 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, 1987713 + ... + 1987839.

Almost surely, 2252447552 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 252447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

252447552 is an abundant number, since it is smaller than the sum of its proper divisors (660489408).

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

252447552 is a wasteful number, since it uses less digits than its factorization.

252447552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 252447552 is about 15888.5981760506. The cubic root of 252447552 is about 632.0096671063.

The spelling of 252447552 in words is "two hundred fifty-two million, four hundred forty-seven thousand, five hundred fifty-two".