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94681248 = 25323137313
BaseRepresentation
bin1011010010010…
…11100010100000
320121011022020220
411221023202200
5143214244443
613221203040
72226530424
oct551134240
9217138226
1094681248
1149499472
1227860480
131680090c
14c808b84
1584a3a83
hex5a4b8a0

94681248 has 96 divisors (see below), whose sum is σ = 262071936. Its totient is φ = 29872128.

The previous prime is 94681241. The next prime is 94681273. The reversal of 94681248 is 84218649.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (94681241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 302340 + ... + 302652.

It is an arithmetic number, because the mean of its divisors is an integer number (2729916).

Almost surely, 294681248 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 94681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131035968).

94681248 is an abundant number, since it is smaller than the sum of its proper divisors (167390688).

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

94681248 is a wasteful number, since it uses less digits than its factorization.

94681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 94681248 is about 9730.4289730721. The cubic root of 94681248 is about 455.7793638685.

The spelling of 94681248 in words is "ninety-four million, six hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 137 138 184 274 276 313 368 411 548 552 626 736 822 939 1096 1104 1252 1644 1878 2192 2208 2504 3151 3288 3756 4384 5008 6302 6576 7199 7512 9453 10016 12604 13152 14398 15024 18906 21597 25208 28796 30048 37812 42881 43194 50416 57592 75624 85762 86388 100832 115184 128643 151248 171524 172776 230368 257286 302496 343048 345552 514572 686096 691104 986263 1029144 1372192 1972526 2058288 2958789 3945052 4116576 5917578 7890104 11835156 15780208 23670312 31560416 47340624 94681248