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550956978 = 2341113171399
BaseRepresentation
bin100000110101101…
…110111110110010
31102101201111220000
4200311232332302
52112021110403
6130400530430
716440025365
oct4065567662
91371644800
10550956978
11263001150
12134620a16
138a1b6c60
145325c0dc
15335817a3
hex20d6efb2

550956978 has 160 divisors (see below), whose sum is σ = 1536796800. Its totient is φ = 144944640.

The previous prime is 550956977. The next prime is 550957007. The reversal of 550956978 is 879659055.

It is a happy number.

550956978 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 569 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (550956977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393123 + ... + 394521.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2550956978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550956978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

550956978 is an abundant number, since it is smaller than the sum of its proper divisors (985839822).

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

550956978 is a wasteful number, since it uses less digits than its factorization.

550956978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The square root of 550956978 is about 23472.4727713124. The cubic root of 550956978 is about 819.7961906724.

The spelling of 550956978 in words is "five hundred fifty million, nine hundred fifty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 81 99 102 117 143 153 162 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 891 918 1053 1122 1287 1326 1377 1399 1683 1782 1989 2106 2431 2574 2754 2798 3366 3861 3978 4197 4862 5049 5967 7293 7722 8394 10098 11583 11934 12591 14586 15147 15389 17901 18187 21879 23166 23783 25182 30294 30778 35802 36374 37773 43758 46167 47566 54561 65637 71349 75546 92334 109122 113319 131274 138501 142698 163683 196911 200057 214047 226638 261613 277002 309179 327366 393822 400114 415503 428094 491049 523226 600171 618358 642141 784839 831006 927537 982098 1200342 1246509 1284282 1473147 1569678 1800513 1855074 1926423 2354517 2493018 2782611 2946294 3400969 3601026 3852846 4709034 5401539 5565222 6801938 7063551 8347833 10202907 10803078 14127102 16204617 16695666 20405814 21190653 25043499 30608721 32409234 42381306 50086998 61217442 91826163 183652326 275478489 550956978