Search a number
-
+
550787952 = 2431113292767
BaseRepresentation
bin100000110101000…
…101101101110000
31102101101221000210
4200311011231300
52112000203302
6130353144120
716435422531
oct4065055560
91371357023
10550787952
112629a6160
1213455b040
138a158040
1453216688
153354b66c
hex20d45b70

550787952 has 160 divisors (see below), whose sum is σ = 1729889280. Its totient is φ = 148700160.

The previous prime is 550787933. The next prime is 550787953. The reversal of 550787952 is 259787055.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550787953) 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 31 ways as a sum of consecutive naturals, for example, 197673 + ... + 200439.

It is an arithmetic number, because the mean of its divisors is an integer number (10811808).

Almost surely, 2550787952 is an apocalyptic number.

550787952 is a gapful number since it is divisible by the number (52) 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 550787952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864944640).

550787952 is an abundant number, since it is smaller than the sum of its proper divisors (1179101328).

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

550787952 is a wasteful number, since it uses less digits than its factorization.

550787952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 550787952 is about 23468.8719797096. The cubic root of 550787952 is about 819.7123480440.

The spelling of 550787952 in words is "five hundred fifty million, seven hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 29 33 39 44 48 52 58 66 78 87 88 104 116 132 143 156 174 176 208 232 264 286 312 319 348 377 429 464 528 572 624 638 696 754 858 957 1131 1144 1276 1392 1508 1716 1914 2262 2288 2552 2767 3016 3432 3828 4147 4524 5104 5534 6032 6864 7656 8294 8301 9048 11068 12441 15312 16588 16602 18096 22136 24882 30437 33176 33204 35971 44272 49764 60874 66352 66408 71942 80243 91311 99528 107913 121748 132816 143884 160486 182622 199056 215826 240729 243496 287768 320972 365244 395681 431652 481458 486992 575536 641944 730488 791362 863304 882673 962916 1043159 1187043 1283888 1460976 1582724 1726608 1765346 1925832 2086318 2374086 2648019 3129477 3165448 3530692 3851664 4172636 4748172 5296038 6258954 6330896 7061384 8345272 9496344 10592076 11474749 12517908 14122768 16690544 18992688 21184152 22949498 25035816 34424247 42368304 45898996 50071632 68848494 91797992 137696988 183595984 275393976 550787952