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250352424 = 23337232313
BaseRepresentation
bin11101110110000…
…01001100101000
3122110002012222000
432323001030220
51003042234144
640501531000
76126650310
oct1673011450
9573065860
10250352424
11119354533
126ba13a60
133cb36c3a
142536c440
1516ea3769
hexeec1328

250352424 has 192 divisors, whose sum is σ = 833481600. Its totient is φ = 68200704.

The previous prime is 250352419. The next prime is 250352429. The reversal of 250352424 is 424253052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (250352419) and next prime (250352429).

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

It is not an unprimeable number, because it can be changed into a prime (250352429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799692 + ... + 800004.

It is an arithmetic number, because the mean of its divisors is an integer number (4341050).

Almost surely, 2250352424 is an apocalyptic number.

250352424 is a gapful number since it is divisible by the number (24) 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 250352424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416740800).

250352424 is an abundant number, since it is smaller than the sum of its proper divisors (583129176).

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

250352424 is a wasteful number, since it uses less digits than its factorization.

250352424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 250352424 is about 15822.5290013954. The cubic root of 250352424 is about 630.2564035687.

The spelling of 250352424 in words is "two hundred fifty million, three hundred fifty-two thousand, four hundred twenty-four".