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4355411104 = 2511531571487
BaseRepresentation
bin1000000111001101…
…00100110010100000
3102020112110210211101
410003212210302200
532404441123404
62000103324144
7212634245362
oct40346446240
912215423741
104355411104
111935574910
12a16750654
13545450845
142d462cd32
151a757c2a4
hex1039a4ca0

4355411104 has 96 divisors (see below), whose sum is σ = 9597885696. Its totient is φ = 1928709120.

The previous prime is 4355411057. The next prime is 4355411113. The reversal of 4355411104 is 4011145534.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2928249 + ... + 2929735.

It is an arithmetic number, because the mean of its divisors is an integer number (99977976).

Almost surely, 24355411104 is an apocalyptic number.

4355411104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4355411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798942848).

4355411104 is an abundant number, since it is smaller than the sum of its proper divisors (5242474592).

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

4355411104 is a wasteful number, since it uses less digits than its factorization.

4355411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 4355411104 is about 65995.5385158724. The cubic root of 4355411104 is about 1633.0884903386.

Adding to 4355411104 its reverse (4011145534), we get a palindrome (8366556638).

It can be divided in two parts, 435541 and 1104, that added together give a triangular number (436645 = T934).

The spelling of 4355411104 in words is "four billion, three hundred fifty-five million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 157 176 212 314 352 424 583 628 848 1166 1256 1487 1696 1727 2332 2512 2974 3454 4664 5024 5948 6908 8321 9328 11896 13816 16357 16642 18656 23792 27632 32714 33284 47584 55264 65428 66568 78811 91531 130856 133136 157622 183062 233459 261712 266272 315244 366124 466918 523424 630488 732248 866921 933836 1260976 1464496 1733842 1867672 2521952 2568049 2928992 3467684 3735344 5136098 6935368 7470688 10272196 12373327 13870736 20544392 24746654 27741472 41088784 49493308 82177568 98986616 136106597 197973232 272213194 395946464 544426388 1088852776 2177705552 4355411104