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173113248 = 25371122129
BaseRepresentation
bin10100101000101…
…11111110100000
3110001202001201210
422110113332200
5323304110443
625102230120
74201303230
oct1224277640
9401661653
10173113248
1189799600
1249b85340
1329b32399
1418dc3cc0
15102e7c33
hexa517fa0

173113248 has 144 divisors (see below), whose sum is σ = 571112640. Its totient is φ = 44943360.

The previous prime is 173113243. The next prime is 173113273. The reversal of 173113248 is 842311371.

173113248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (173113243) 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, 80248 + ... + 82376.

It is an arithmetic number, because the mean of its divisors is an integer number (3966060).

Almost surely, 2173113248 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 173113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285556320).

173113248 is an abundant number, since it is smaller than the sum of its proper divisors (397999392).

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

173113248 is a wasteful number, since it uses less digits than its factorization.

173113248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2152 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 173113248 is about 13157.2507766630. The cubic root of 173113248 is about 557.3270236282.

The spelling of 173113248 in words is "one hundred seventy-three million, one hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2129 2464 2541 2904 3388 3696 3872 4258 5082 5808 6387 6776 7392 8516 10164 11616 12774 13552 14903 17032 20328 23419 25548 27104 29806 34064 40656 44709 46838 51096 59612 68128 70257 81312 89418 93676 102192 119224 140514 163933 178836 187352 204384 238448 257609 281028 327866 357672 374704 476896 491799 515218 562056 655732 715344 749408 772827 983598 1030436 1124112 1311464 1430688 1545654 1803263 1967196 2060872 2248224 2622928 3091308 3606526 3934392 4121744 5245856 5409789 6182616 7213052 7868784 8243488 10819578 12365232 14426104 15737568 21639156 24730464 28852208 43278312 57704416 86556624 173113248