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272766396 = 2237313109
BaseRepresentation
bin10000010000100…
…001010110111100
3201000020222011010
4100100201112330
51024312011041
643022155220
76521322210
oct2020412674
9630228133
10272766396
1112aa73481
1277422b10
1344684046
1428324940
1518e2ea16
hex104215bc

272766396 has 96 divisors (see below), whose sum is σ = 758517760. Its totient is φ = 74727360.

The previous prime is 272766383. The next prime is 272766491. The reversal of 272766396 is 693667272.

Its product of digits (1143072) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502390 + ... + 2502498.

Almost surely, 2272766396 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 272766396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379258880).

272766396 is an abundant number, since it is smaller than the sum of its proper divisors (485751364).

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

272766396 is a wasteful number, since it uses less digits than its factorization.

272766396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 152 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 272766396 is about 16515.6409503234. The cubic root of 272766396 is about 648.5303252734.

The spelling of 272766396 in words is "two hundred seventy-two million, seven hundred sixty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 109 124 186 217 218 327 372 434 436 651 654 763 868 961 1302 1308 1526 1922 2289 2604 2883 3052 3379 3844 4578 5766 6727 6758 9156 10137 11532 13454 13516 20181 20274 23653 26908 29791 40362 40548 47306 59582 70959 80724 89373 94612 104749 119164 141918 178746 208537 209498 283836 314247 357492 417074 418996 625611 628494 733243 834148 1251222 1256988 1466486 2199729 2502444 2932972 3247219 4399458 6494438 8798916 9741657 12988876 19483314 22730533 38966628 45461066 68191599 90922132 136383198 272766396