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61424244 = 2234725373
BaseRepresentation
bin1110101001010…
…0001001110100
311021120200020000
43222110021310
5111211033434
610032311300
71344045300
oct352241164
9137520200
1061424244
1131743a42
12186a2530
13c95830b
14822cd00
1555d4b99
hex3a94274

61424244 has 180 divisors, whose sum is σ = 192922884. Its totient is φ = 16982784.

The previous prime is 61424243. The next prime is 61424249. The reversal of 61424244 is 44242416.

It is a happy number.

61424244 is a `hidden beast` number, since 614 + 2 + 4 + 2 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 21734244 = 6300^2 + 4662^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61424243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 841392 + ... + 841464.

Almost surely, 261424244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96461442).

61424244 is an abundant number, since it is smaller than the sum of its proper divisors (131498640).

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

61424244 is a wasteful number, since it uses less digits than its factorization.

61424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 61424244 is about 7837.3620562023. The cubic root of 61424244 is about 394.5601984211.

The spelling of 61424244 in words is "sixty-one million, four hundred twenty-four thousand, two hundred forty-four".