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4211349472 = 251137536101
BaseRepresentation
bin1111101100000100…
…0001011111100000
3101212111101201102101
43323001001133200
532111101140342
61533515500144
7206234610541
oct37301013740
911774351371
104211349472
111871219210
12996457654
13521650885
142bd44c4c8
15199ac23b7
hexfb0417e0

4211349472 has 96 divisors (see below), whose sum is σ = 9466105824. Its totient is φ = 1827072000.

The previous prime is 4211349469. The next prime is 4211349503. The reversal of 4211349472 is 2749431124.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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, 687222 + ... + 693322.

It is an arithmetic number, because the mean of its divisors is an integer number (98605269).

Almost surely, 24211349472 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 4211349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733052912).

4211349472 is an abundant number, since it is smaller than the sum of its proper divisors (5254756352).

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

4211349472 is a wasteful number, since it uses less digits than its factorization.

4211349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6204 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 4211349472 is about 64894.9109869179. The cubic root of 4211349472 is about 1614.8806375949.

The spelling of 4211349472 in words is "four billion, two hundred eleven million, three hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 53 74 88 106 148 176 212 296 352 407 424 583 592 814 848 1166 1184 1628 1696 1961 2332 3256 3922 4664 6101 6512 7844 9328 12202 13024 15688 18656 21571 24404 31376 43142 48808 62752 67111 86284 97616 134222 172568 195232 225737 268444 323353 345136 451474 536888 646706 690272 902948 1073776 1293412 1805896 2147552 2483107 2586824 3556883 3611792 4966214 5173648 7113766 7223584 9932428 10347296 11964061 14227532 19864856 23928122 28455064 39729712 47856244 56910128 79459424 95712488 113820256 131604671 191424976 263209342 382849952 526418684 1052837368 2105674736 4211349472