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776272056 = 2337191571549
BaseRepresentation
bin101110010001001…
…111100010111000
32000002200201001220
4232101033202320
53042211201211
6205010112040
725144126560
oct5621174270
92002621056
10776272056
1136920475a
12197b7b620
13c4a959a1
147514dda0
154823b806
hex2e44f8b8

776272056 has 128 divisors (see below), whose sum is σ = 2351040000. Its totient is φ = 208645632.

The previous prime is 776272043. The next prime is 776272061. The reversal of 776272056 is 650272677.

776272056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 776271999 and 776272017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500370 + ... + 501918.

It is an arithmetic number, because the mean of its divisors is an integer number (18367500).

Almost surely, 2776272056 is an apocalyptic number.

776272056 is a gapful number since it is divisible by the number (76) 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 776272056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175520000).

776272056 is an abundant number, since it is smaller than the sum of its proper divisors (1574767944).

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

776272056 is a wasteful number, since it uses less digits than its factorization.

776272056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 776272056 is about 27861.6592470728. The cubic root of 776272056 is about 919.0475555801.

The spelling of 776272056 in words is "seven hundred seventy-six million, two hundred seventy-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 157 168 228 266 314 399 456 471 532 628 798 942 1064 1099 1256 1549 1596 1884 2198 2983 3098 3192 3297 3768 4396 4647 5966 6196 6594 8792 8949 9294 10843 11932 12392 13188 17898 18588 20881 21686 23864 26376 29431 32529 35796 37176 41762 43372 58862 62643 65058 71592 83524 86744 88293 117724 125286 130116 167048 176586 206017 235448 243193 250572 260232 353172 412034 486386 501144 618051 706344 729579 824068 972772 1236102 1459158 1648136 1702351 1945544 2472204 2918316 3404702 4620667 4944408 5107053 5836632 6809404 9241334 10214106 13618808 13862001 18482668 20428212 27724002 32344669 36965336 40856424 55448004 64689338 97034007 110896008 129378676 194068014 258757352 388136028 776272056