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96718950 = 232521747269
BaseRepresentation
bin1011100001111…
…01000001100110
320201222211110100
411300331001212
5144230001300
613333004530
72253045306
oct560750146
9221884410
1096718950
114a660419
1228483746
1317065263
14cbb9606
158757700
hex5c3d066

96718950 has 144 divisors (see below), whose sum is σ = 282035520. Its totient is φ = 23669760.

The previous prime is 96718943. The next prime is 96718981. The reversal of 96718950 is 5981769.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 96718896 and 96718905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359416 + ... + 359684.

It is an arithmetic number, because the mean of its divisors is an integer number (1958580).

Almost surely, 296718950 is an apocalyptic number.

96718950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96718950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141017760).

96718950 is an abundant number, since it is smaller than the sum of its proper divisors (185316570).

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

96718950 is a wasteful number, since it uses less digits than its factorization.

96718950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 96718950 is about 9834.5792995939. The cubic root of 96718950 is about 459.0259002572.

The spelling of 96718950 in words is "ninety-six million, seven hundred eighteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 47 50 51 75 85 90 94 102 141 150 153 170 225 235 255 269 282 306 423 425 450 470 510 538 705 765 799 807 846 850 1175 1275 1345 1410 1530 1598 1614 2115 2350 2397 2421 2550 2690 3525 3825 3995 4035 4230 4573 4794 4842 6725 7050 7191 7650 7990 8070 9146 10575 11985 12105 12643 13450 13719 14382 19975 20175 21150 22865 23970 24210 25286 27438 35955 37929 39950 40350 41157 45730 59925 60525 63215 68595 71910 75858 82314 113787 114325 119850 121050 126430 137190 179775 189645 205785 214931 227574 228650 316075 342975 359550 379290 411570 429862 568935 632150 644793 685950 948225 1028925 1074655 1137870 1289586 1896450 1934379 2057850 2149310 2844675 3223965 3868758 5373275 5689350 6447930 9671895 10746550 16119825 19343790 32239650 48359475 96718950