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5144327000 = 23536776781
BaseRepresentation
bin1001100101010000…
…00011001101011000
3111021111221212222122
410302220003031120
541013421431000
62210244440412
7241324025621
oct46250031530
914244855878
105144327000
1121aa92501a
12bb69a9108
1363ca22597
1436b310a48
15201965085
hex132a03358

5144327000 has 64 divisors (see below), whose sum is σ = 12217551840. Its totient is φ = 2026992000.

The previous prime is 5144326991. The next prime is 5144327011. The reversal of 5144327000 is 7234415.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28610 + ... + 105390.

Almost surely, 25144327000 is an apocalyptic number.

5144327000 is a gapful number since it is divisible by the number (50) 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 5144327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108775920).

5144327000 is an abundant number, since it is smaller than the sum of its proper divisors (7073224840).

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

5144327000 is a wasteful number, since it uses less digits than its factorization.

5144327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76869 (or 76855 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5144327000 is about 71723.9639172292. The cubic root of 5144327000 is about 1726.2731761538.

The spelling of 5144327000 in words is "five billion, one hundred forty-four million, three hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 6700 8375 13400 16750 33500 67000 76781 153562 307124 383905 614248 767810 1535620 1919525 3071240 3839050 5144327 7678100 9597625 10288654 15356200 19195250 20577308 25721635 38390500 41154616 51443270 76781000 102886540 128608175 205773080 257216350 514432700 643040875 1028865400 1286081750 2572163500 5144327000