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3721273248 = 253721171917
BaseRepresentation
bin1101110111001110…
…0001111110100000
3100121100020021020010
43131303201332200
530110121220443
61413131444520
7161134205100
oct33563417640
910540207203
103721273248
11163a61a740
1287a2b6740
13473c61744
1427431b200
1516ba69733
hexddce1fa0

3721273248 has 144 divisors (see below), whose sum is σ = 12396361824. Its totient is φ = 966551040.

The previous prime is 3721273223. The next prime is 3721273249. The reversal of 3721273248 is 8423721273.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 (3721273249) 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, 15786 + ... + 87702.

It is an arithmetic number, because the mean of its divisors is an integer number (86085846).

Almost surely, 23721273248 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 3721273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198180912).

3721273248 is an abundant number, since it is smaller than the sum of its proper divisors (8675088576).

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

3721273248 is a wasteful number, since it uses less digits than its factorization.

3721273248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71955 (or 71940 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 3721273248 is about 61002.2396965882. The cubic root of 3721273248 is about 1549.6389374741.

The spelling of 3721273248 in words is "three billion, seven hundred twenty-one million, two hundred seventy-three 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 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 71917 143834 215751 287668 431502 503419 575336 791087 863004 1006838 1150672 1510257 1582174 1726008 2013676 2301344 2373261 3020514 3164348 3452016 3523933 4027352 4746522 5537609 6041028 6328696 6904032 7047866 8054704 9493044 10571799 11075218 12082056 12657392 14095732 16109408 16612827 18986088 21143598 22150436 24164112 25314784 28191464 33225654 37972176 38763263 42287196 44300872 48328224 56382928 66451308 75944352 77526526 84574392 88601744 112765856 116289789 132902616 155053052 169148784 177203488 232579578 265805232 310106104 338297568 465159156 531610464 620212208 930318312 1240424416 1860636624 3721273248