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4917220 = 22571131103
BaseRepresentation
bin10010110000011111100100
3100020211011021
4102300133210
52224322340
6253220524
756536630
oct22603744
910224137
104917220
112859420
121791744
1310321c9
1491ddc0
15671e4a
hex4b07e4

4917220 has 96 divisors (see below), whose sum is σ = 13418496. Its totient is φ = 1468800.

The previous prime is 4917217. The next prime is 4917277. The reversal of 4917220 is 227194.

4917220 = T1 + T2 + ... + T308.

4917220 is a nontrivial binomial coefficient, being equal to C(310, 3).

It is an unprimeable number.

It is the 308-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47689 + ... + 47791.

It is an arithmetic number, because the mean of its divisors is an integer number (139776).

Almost surely, 24917220 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 4917220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709248).

4917220 is an abundant number, since it is smaller than the sum of its proper divisors (8501276).

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

4917220 is a wasteful number, since it uses less digits than its factorization.

4917220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4917220 is about 2217.4805523386. The cubic root of 4917220 is about 170.0486596577.

The spelling of 4917220 in words is "four million, nine hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 103 110 124 140 154 155 206 217 220 308 310 341 385 412 434 515 620 682 721 770 868 1030 1085 1133 1364 1442 1540 1705 2060 2170 2266 2387 2884 3193 3410 3605 4340 4532 4774 5665 6386 6820 7210 7931 9548 11330 11935 12772 14420 15862 15965 22351 22660 23870 31724 31930 35123 39655 44702 47740 63860 70246 79310 89404 111755 140492 158620 175615 223510 245861 351230 447020 491722 702460 983444 1229305 2458610 4917220