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24382890 = 2335721997
BaseRepresentation
bin101110100000…
…0110110101010
31200212210001000
41131000312222
522220223030
62230335430
7414152100
oct135006652
950783030
1024382890
1112844254
1281ba576
13508935c
143349c70
152219860
hex1740daa

24382890 has 192 divisors, whose sum is σ = 80438400. Its totient is φ = 5225472.

The previous prime is 24382877. The next prime is 24382903. The reversal of 24382890 is 9828342.

It is an interprime number because it is at equal distance from previous prime (24382877) and next prime (24382903).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251322 + ... + 251418.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 224382890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24382890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

24382890 is an abundant number, since it is smaller than the sum of its proper divisors (56055510).

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

24382890 is a wasteful number, since it uses less digits than its factorization.

24382890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 24382890 is about 4937.9034012423. The cubic root of 24382890 is about 289.9757807757.

The spelling of 24382890 in words is "twenty-four million, three hundred eighty-two thousand, eight hundred ninety".