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4214490 = 235724761
BaseRepresentation
bin10000000100111011011010
321221010012020
4100010323122
52034330430
6230155310
750552100
oct20047332
97833166
104214490
112419455
1214b2b36
13b473a7
147b9c70
15583b10
hex404eda

4214490 has 96 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 927360.

The previous prime is 4214479. The next prime is 4214503. The reversal of 4214490 is 944124.

4214490 = T50 + T51 + ... + T293.

It is a d-powerful number, because it can be written as 45 + 211 + 1 + 47 + 411 + 93 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4214490.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69060 + ... + 69120.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 24214490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

4214490 is an abundant number, since it is smaller than the sum of its proper divisors (7999014).

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

4214490 is a wasteful number, since it uses less digits than its factorization.

4214490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4214490 is about 2052.9223073463. The cubic root of 4214490 is about 161.5281959288.

The spelling of 4214490 in words is "four million, two hundred fourteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 49 61 70 94 98 105 122 141 147 183 210 235 245 282 294 305 329 366 427 470 490 610 658 705 735 854 915 987 1281 1410 1470 1645 1830 1974 2135 2303 2562 2867 2989 3290 4270 4606 4935 5734 5978 6405 6909 8601 8967 9870 11515 12810 13818 14335 14945 17202 17934 20069 23030 28670 29890 34545 40138 43005 44835 60207 69090 86010 89670 100345 120414 140483 200690 280966 301035 421449 602070 702415 842898 1404830 2107245 4214490