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549996304 = 24112132412
BaseRepresentation
bin100000110010000…
…100011100010000
31102022220201002111
4200302010130100
52111244340204
6130324155104
716425614524
oct4062043420
91368821074
10549996304
11262505400
12134238a94
1389c3b900
145308bd84
1533441d04
hex20c84710

549996304 has 135 divisors (see below), whose sum is σ = 1300019007. Its totient is φ = 225139200.

The previous prime is 549996283. The next prime is 549996319. The reversal of 549996304 is 403699945.

The square root of 549996304 is 23452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 366339600 + 183656704 = 19140^2 + 13552^2 .

It is a super-3 number, since 3×5499963043 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13414524 + ... + 13414564.

Almost surely, 2549996304 is an apocalyptic number.

549996304 is the 23452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549996304

549996304 is an abundant number, since it is smaller than the sum of its proper divisors (750022703).

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

549996304 is a wasteful number, since it uses less digits than its factorization.

549996304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The cubic root of 549996304 is about 819.3194353169.

Multiplying 549996304 by its sum of digits (49), we get a square (26949818896 = 1641642).

The spelling of 549996304 in words is "five hundred forty-nine million, nine hundred ninety-six thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 121 143 164 169 176 208 242 286 328 338 451 484 533 572 656 676 902 968 1066 1144 1352 1573 1681 1804 1859 1936 2132 2288 2704 3146 3362 3608 3718 4264 4961 5863 6292 6724 6929 7216 7436 8528 9922 11726 12584 13448 13858 14872 18491 19844 20449 21853 23452 25168 26896 27716 29744 36982 39688 40898 43706 46904 55432 64493 73964 76219 79376 81796 87412 93808 110864 128986 147928 152438 163592 174824 203401 240383 257972 284089 295856 304876 327184 349648 406802 480766 515944 568178 609752 813604 838409 961532 1031888 1136356 1219504 1627208 1676818 1923064 2272712 2644213 3124979 3254416 3353636 3846128 4545424 5288426 6249958 6707272 10576852 12499916 13414544 21153704 24999832 34374769 42307408 49999664 68749538 137499076 274998152 549996304