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5147136 = 29321117
BaseRepresentation
bin10011101000101000000000
3100200111112200
4103220220000
52304202021
6302153200
761515141
oct23505000
910614480
105147136
1129a6135
121882800
1310b2a57
1497dac8
156ba126
hex4e8a00

5147136 has 60 divisors (see below), whose sum is σ = 14868282. Its totient is φ = 1714176.

The previous prime is 5147069. The next prime is 5147159. The reversal of 5147136 is 6317415.

It can be written as a sum of positive squares in only one way, i.e., 5089536 + 57600 = 2256^2 + 240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4050 + ... + 5166.

Almost surely, 25147136 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 5147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434141).

5147136 is an abundant number, since it is smaller than the sum of its proper divisors (9721146).

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

5147136 is a wasteful number, since it uses less digits than its factorization.

5147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 5147136 is about 2268.7300412345. The cubic root of 5147136 is about 172.6587322787.

The spelling of 5147136 in words is "five million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1117 1152 1536 2234 2304 3351 4468 4608 6702 8936 10053 13404 17872 20106 26808 35744 40212 53616 71488 80424 107232 142976 160848 214464 285952 321696 428928 571904 643392 857856 1286784 1715712 2573568 5147136