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243425952 = 25337113659
BaseRepresentation
bin11101000001001…
…10001010100000
3121222001022122000
432200212022200
5444304112302
640053244000
76014041440
oct1640461240
9558038560
10243425952
11115453580
1269633600
133b580333
1424488120
151658631c
hexe8262a0

243425952 has 192 divisors, whose sum is σ = 885427200. Its totient is φ = 63210240.

The previous prime is 243425927. The next prime is 243425953. The reversal of 243425952 is 259524342.

243425952 is a `hidden beast` number, since 24 + 3 + 42 + 595 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (243425953) 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, 64699 + ... + 68357.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2243425952 is an apocalyptic number.

243425952 is a gapful number since it is divisible by the number (22) 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 243425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

243425952 is an abundant number, since it is smaller than the sum of its proper divisors (642001248).

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

243425952 is a wasteful number, since it uses less digits than its factorization.

243425952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3682 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 243425952 is about 15602.1137029570. The cubic root of 243425952 is about 624.3895496614.

The spelling of 243425952 in words is "two hundred forty-three million, four hundred twenty-five thousand, nine hundred fifty-two".