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550416412 = 2272131797131
BaseRepresentation
bin100000110011101…
…011000000011100
31102100201001101001
4200303223000130
52111401311122
6130341200044
716432314400
oct4063530034
91370631331
10550416412
11262771aa7
12134400024
138a057bb0
145315b100
15334c6527
hex20ceb01c

550416412 has 144 divisors (see below), whose sum is σ = 1300688928. Its totient is φ = 201277440.

The previous prime is 550416343. The next prime is 550416413. The reversal of 550416412 is 214614055.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550416413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201587 + ... + 4201717.

It is an arithmetic number, because the mean of its divisors is an integer number (9032562).

Almost surely, 2550416412 is an apocalyptic number.

550416412 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 550416412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650344464).

550416412 is an abundant number, since it is smaller than the sum of its proper divisors (750272516).

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

550416412 is a wasteful number, since it uses less digits than its factorization.

550416412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 550416412 is about 23460.9550530237. The cubic root of 550416412 is about 819.5279912930.

The spelling of 550416412 in words is "five hundred fifty million, four hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 97 98 119 131 182 194 196 221 238 262 364 388 442 476 524 637 679 833 884 917 1261 1274 1358 1547 1649 1666 1703 1834 2227 2522 2548 2716 3094 3298 3332 3406 3668 4454 4753 5044 6188 6419 6596 6812 8827 8908 9506 10829 11543 11921 12707 12838 15589 17654 19012 21437 21658 23086 23842 25414 25676 28951 31178 35308 42874 43316 46172 47684 50828 57902 61789 62356 80801 83447 85748 88949 109123 115804 123578 150059 161602 165191 166894 177898 202657 216019 218246 247156 300118 323204 330382 333788 355796 405314 432038 436492 600236 622643 660764 810628 864076 1050413 1156337 1245286 1418599 1512133 2100826 2312674 2490572 2808247 2837198 3024266 4201652 4625348 5616494 5674396 6048532 8094359 10584931 11232988 16188718 19657729 21169862 32377436 39315458 42339724 78630916 137604103 275208206 550416412