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550414032 = 243717173557
BaseRepresentation
bin100000110011101…
…010011011010000
31102100200221002220
4200303222123100
52111401222112
6130341141040
716432304430
oct4063523320
91370627086
10550414032
11262770233
121343ba780
138a056a9c
145315a2c0
15334c598c
hex20cea6d0

550414032 has 160 divisors (see below), whose sum is σ = 1733674752. Its totient is φ = 146890752.

The previous prime is 550413979. The next prime is 550414069. The reversal of 550414032 is 230414055.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 550413993 and 550414011.

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 31 ways as a sum of consecutive naturals, for example, 987898 + ... + 988454.

Almost surely, 2550414032 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 550414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866837376).

550414032 is an abundant number, since it is smaller than the sum of its proper divisors (1183260720).

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

550414032 is a wasteful number, since it uses less digits than its factorization.

550414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 550414032 is about 23460.9043303961. The cubic root of 550414032 is about 819.5268100786.

Adding to 550414032 its reverse (230414055), we get a palindrome (780828087).

The spelling of 550414032 in words is "five hundred fifty million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 173 204 238 272 336 346 357 408 476 519 557 692 714 816 952 1038 1114 1211 1384 1428 1671 1904 2076 2228 2422 2768 2856 2941 3342 3633 3899 4152 4456 4844 5712 5882 6684 7266 7798 8304 8823 8912 9469 9688 11697 11764 13368 14532 15596 17646 18938 19376 20587 23394 23528 26736 28407 29064 31192 35292 37876 41174 46788 47056 56814 58128 61761 62384 66283 70584 75752 82348 93576 96361 113628 123522 132566 141168 151504 164696 187152 192722 198849 227256 247044 265132 289083 329392 385444 397698 454512 494088 530264 578166 674527 770888 795396 988176 1060528 1156332 1349054 1541776 1590792 1638137 2023581 2312664 2698108 3181584 3276274 4047162 4625328 4914411 5396216 6552548 8094324 9828822 10792432 11466959 13105096 16188648 19657644 22933918 26210192 32377296 34400877 39315288 45867836 68801754 78630576 91735672 137603508 183471344 275207016 550414032