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676491732 = 2232719236143
BaseRepresentation
bin101000010100100…
…111000111010100
31202010221100012100
4220110213013110
52341140213412
6151043322100
722523041050
oct5024470724
91663840170
10676491732
11317953284
1216a680330
13aa1cb187
1465bb8c60
153e5cbedc
hex285271d4

676491732 has 144 divisors (see below), whose sum is σ = 2146959360. Its totient is φ = 175120704.

The previous prime is 676491731. The next prime is 676491779. The reversal of 676491732 is 237194676.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676491731) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 107053 + ... + 113195.

It is an arithmetic number, because the mean of its divisors is an integer number (14909440).

Almost surely, 2676491732 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 676491732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073479680).

676491732 is an abundant number, since it is smaller than the sum of its proper divisors (1470467628).

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

676491732 is a wasteful number, since it uses less digits than its factorization.

676491732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6197 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 676491732 is about 26009.4546655634. The cubic root of 676491732 is about 877.8510461419.

The spelling of 676491732 in words is "six hundred seventy-six million, four hundred ninety-one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 23 28 36 38 42 46 57 63 69 76 84 92 114 126 133 138 161 171 207 228 252 266 276 322 342 399 414 437 483 532 644 684 798 828 874 966 1197 1311 1449 1596 1748 1932 2394 2622 2898 3059 3933 4788 5244 5796 6118 6143 7866 9177 12236 12286 15732 18354 18429 24572 27531 36708 36858 43001 55062 55287 73716 86002 110124 110574 116717 129003 141289 172004 221148 233434 258006 282578 350151 387009 423867 466868 516012 565156 700302 774018 817019 847734 989023 1050453 1271601 1400604 1548036 1634038 1695468 1978046 2100906 2451057 2543202 2684491 2967069 3268076 3956092 4201812 4902114 5086404 5368982 5934138 7353171 8053473 8901207 9804228 10737964 11868276 14706342 16106946 17802414 18791437 24160419 29412684 32213892 35604828 37582874 48320838 56374311 75165748 96641676 112748622 169122933 225497244 338245866 676491732