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1017213472 = 25113783941
BaseRepresentation
bin111100101000010…
…111001000100000
32121220001210120001
4330220113020200
54040401312342
6244534225344
734131112642
oct7450271040
92556053501
101017213472
114822105a0
122447b5254
13132986182
149914c892
155e4818b7
hex3ca17220

1017213472 has 96 divisors (see below), whose sum is σ = 2273189184. Its totient is φ = 443980800.

The previous prime is 1017213467. The next prime is 1017213473. The reversal of 1017213472 is 2743127101.

It is a self number, because there is not a number n which added to its sum of digits gives 1017213472.

It is not an unprimeable number, because it can be changed into a prime (1017213473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080522 + ... + 1081462.

It is an arithmetic number, because the mean of its divisors is an integer number (23679054).

Almost surely, 21017213472 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 1017213472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136594592).

1017213472 is an abundant number, since it is smaller than the sum of its proper divisors (1255975712).

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

1017213472 is a wasteful number, since it uses less digits than its factorization.

1017213472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1017213472 is about 31893.7842220079. The cubic root of 1017213472 is about 1005.7052126481.

The spelling of 1017213472 in words is "one billion, seventeen million, two hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 83 88 148 166 176 296 332 352 407 592 664 814 913 941 1184 1328 1628 1826 1882 2656 3071 3256 3652 3764 6142 6512 7304 7528 10351 12284 13024 14608 15056 20702 24568 29216 30112 33781 34817 41404 49136 67562 69634 78103 82808 98272 135124 139268 156206 165616 270248 278536 312412 331232 382987 540496 557072 624824 765974 859133 1080992 1114144 1249648 1531948 1718266 2499296 2889811 3063896 3436532 5779622 6127792 6873064 11559244 12255584 13746128 23118488 27492256 31787921 46236976 63575842 92473952 127151684 254303368 508606736 1017213472