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913550112 = 253229891229
BaseRepresentation
bin110110011100111…
…010101100100000
32100200000011011100
4312130322230200
53332332100422
6230352314400
731432022256
oct6634725440
92320004140
10913550112
114297477a2
12215b42a00
1311735c0c7
14894865d6
15553067ac
hex3673ab20

913550112 has 144 divisors (see below), whose sum is σ = 2719899000. Its totient is φ = 290476032.

The previous prime is 913550111. The next prime is 913550119. The reversal of 913550112 is 211055319.

913550112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 873557136 + 39992976 = 29556^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (913550111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742714 + ... + 743942.

Almost surely, 2913550112 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 913550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359949500).

913550112 is an abundant number, since it is smaller than the sum of its proper divisors (1806348888).

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

913550112 is a wasteful number, since it uses less digits than its factorization.

913550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 913550112 is about 30224.9915136465. The cubic root of 913550112 is about 970.3106356223.

The spelling of 913550112 in words is "nine hundred thirteen million, five hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 89 96 116 144 174 178 232 261 267 288 348 356 464 522 534 696 712 801 928 1044 1068 1229 1392 1424 1602 2088 2136 2458 2581 2784 2848 3204 3687 4176 4272 4916 5162 6408 7374 7743 8352 8544 9832 10324 11061 12816 14748 15486 19664 20648 22122 23229 25632 29496 30972 35641 39328 41296 44244 46458 58992 61944 71282 82592 88488 92916 106923 109381 117984 123888 142564 176976 185832 213846 218762 247776 285128 320769 328143 353952 371664 427692 437524 570256 641538 656286 743328 855384 875048 984429 1140512 1283076 1312572 1710768 1750096 1968858 2566152 2625144 3172049 3421536 3500192 3937716 5132304 5250288 6344098 7875432 9516147 10264608 10500576 12688196 15750864 19032294 25376392 28548441 31501728 38064588 50752784 57096882 76129176 101505568 114193764 152258352 228387528 304516704 456775056 913550112