Search a number
-
+
550787538 = 237259113281
BaseRepresentation
bin100000110101000…
…101100111010010
31102101101220110110
4200311011213102
52112000200123
6130353142150
716435421400
oct4065054722
91371356413
10550787538
112629a5914
1213455a956
138a157ab2
1453216470
153354b493
hex20d459d2

550787538 has 96 divisors (see below), whose sum is σ = 1319353920. Its totient is φ = 152785920.

The previous prime is 550787533. The next prime is 550787581. The reversal of 550787538 is 835787055.

It is a happy number.

It is a super-3 number, since 3×5507875383 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (550787533) 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 47 ways as a sum of consecutive naturals, for example, 1959958 + ... + 1960238.

It is an arithmetic number, because the mean of its divisors is an integer number (13743270).

Almost surely, 2550787538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550787538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659676960).

550787538 is an abundant number, since it is smaller than the sum of its proper divisors (768566382).

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

550787538 is a wasteful number, since it uses less digits than its factorization.

550787538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The square root of 550787538 is about 23468.8631595141. The cubic root of 550787538 is about 819.7121426649.

The spelling of 550787538 in words is "five hundred fifty million, seven hundred eighty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 113 118 147 177 226 281 294 339 354 413 562 678 791 826 843 1239 1582 1686 1967 2373 2478 2891 3934 4746 5537 5782 5901 6667 8673 11074 11802 13334 13769 16579 16611 17346 20001 27538 31753 33158 33222 40002 41307 46669 49737 63506 82614 93338 95259 99474 116053 140007 190518 222271 232106 280014 326683 348159 444542 653366 666813 696318 812371 980049 1333626 1555897 1624742 1873427 1960098 2437113 3111794 3746854 4667691 4874226 5620281 9335382 11240562 13113989 26227978 39341967 78683934 91797923 183595846 275393769 550787538