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4216890 = 2352937131
BaseRepresentation
bin10000000101100000111010
321221020111010
4100011200322
52034420030
6230214350
750562066
oct20054072
97836433
104216890
112420237
1214b43b6
13b48502
147baaa6
155846b0
hex40583a

4216890 has 64 divisors (see below), whose sum is σ = 10834560. Its totient is φ = 1048320.

The previous prime is 4216871. The next prime is 4216897. The reversal of 4216890 is 986124.

It is a super-2 number, since 2×42168902 = 35564322544200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4216897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32125 + ... + 32255.

It is an arithmetic number, because the mean of its divisors is an integer number (169290).

Almost surely, 24216890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417280).

4216890 is an abundant number, since it is smaller than the sum of its proper divisors (6617670).

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

4216890 is a wasteful number, since it uses less digits than its factorization.

4216890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4216890 is about 2053.5067567456. The cubic root of 4216890 is about 161.5588516037.

The spelling of 4216890 in words is "four million, two hundred sixteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 131 145 174 185 222 262 290 370 393 435 555 655 786 870 1073 1110 1310 1965 2146 3219 3799 3930 4847 5365 6438 7598 9694 10730 11397 14541 16095 18995 22794 24235 29082 32190 37990 48470 56985 72705 113970 140563 145410 281126 421689 702815 843378 1405630 2108445 4216890