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207442944 = 210344161
BaseRepresentation
bin11000101110101…
…01010000000000
3112110100012020000
430113111100000
5411101133234
632330120000
75066143632
oct1427252000
9473305200
10207442944
11a7106a55
1259580000
1333c92007
141d79ca52
1513329899
hexc5d5400

207442944 has 220 divisors, whose sum is σ = 644976948. Its totient is φ = 66355200.

The previous prime is 207442889. The next prime is 207442987. The reversal of 207442944 is 449244702.

207442944 is a `hidden beast` number, since 207 + 442 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 199148544 = 2880^2 + 14112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 207442899 and 207442908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3400674 + ... + 3400734.

Almost surely, 2207442944 is an apocalyptic number.

207442944 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 207442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322488474).

207442944 is an abundant number, since it is smaller than the sum of its proper divisors (437534004).

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

207442944 is an equidigital number, since it uses as much as digits as its factorization.

207442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 207442944 is about 14402.8797120576. The cubic root of 207442944 is about 591.9698061055.

The spelling of 207442944 in words is "two hundred seven million, four hundred forty-two thousand, nine hundred forty-four".