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5244117408 = 253237348817
BaseRepresentation
bin1001110001001001…
…01110000110100000
3111112110201202200200
410320210232012200
541214443224113
62224211345200
7243645156015
oct47044560640
914473652620
105244117408
112251193032
1210242b2200
136575c186a
1437a68970c
1520a5c7873
hex13892e1a0

5244117408 has 72 divisors (see below), whose sum is σ = 14953246308. Its totient is φ = 1743316992.

The previous prime is 5244117391. The next prime is 5244117409. The reversal of 5244117408 is 8047114425.

It is a happy number.

5244117408 is a `hidden beast` number, since 5 + 244 + 1 + 1 + 7 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5237706384 + 6411024 = 72372^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (5244117409) 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 11 ways as a sum of consecutive naturals, for example, 83016 + ... + 131832.

Almost surely, 25244117408 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 5244117408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476623154).

5244117408 is an abundant number, since it is smaller than the sum of its proper divisors (9709128900).

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

5244117408 is a wasteful number, since it uses less digits than its factorization.

5244117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49206 (or 49195 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5244117408 is about 72416.2786119254. The cubic root of 5244117408 is about 1737.3639355038.

The spelling of 5244117408 in words is "five billion, two hundred forty-four million, one hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 373 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 11936 13428 17904 26856 35808 48817 53712 97634 107424 146451 195268 292902 390536 439353 585804 781072 878706 1171608 1562144 1757412 2343216 3514824 4686432 7029648 14059296 18208741 36417482 54626223 72834964 109252446 145669928 163878669 218504892 291339856 327757338 437009784 582679712 655514676 874019568 1311029352 1748039136 2622058704 5244117408