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5890420224 = 29331373449
BaseRepresentation
bin1010111110001100…
…01010111000000000
3120012111212100111000
411133012022320000
544030421421344
62412300052000
7265653513543
oct53706127000
916174770430
105890420224
112552a96997
121184834000
1372b47ca70
143dc44685a
152471dea69
hex15f18ae00

5890420224 has 320 divisors, whose sum is σ = 19076904000. Its totient is φ = 1783627776.

The previous prime is 5890420201. The next prime is 5890420243. The reversal of 5890420224 is 4220240985.

5890420224 is a `hidden beast` number, since 5 + 8 + 9 + 0 + 420 + 224 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13118752 + ... + 13119200.

It is an arithmetic number, because the mean of its divisors is an integer number (59615325).

Almost surely, 25890420224 is an apocalyptic number.

5890420224 is a gapful number since it is divisible by the number (54) 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 5890420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538452000).

5890420224 is an abundant number, since it is smaller than the sum of its proper divisors (13186483776).

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

5890420224 is a wasteful number, since it uses less digits than its factorization.

5890420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5890420224 is about 76749.0731149243. The cubic root of 5890420224 is about 1805.9903532558.

The spelling of 5890420224 in words is "five billion, eight hundred ninety million, four hundred twenty thousand, two hundred twenty-four".