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4417980 = 2235767157
BaseRepresentation
bin10000110110100110111100
322022110022220
4100312212330
52112333410
6234405340
752360260
oct20664674
98273286
104417980
112548326
121590850
13bb8bb8
148300a0
155c4070
hex4369bc

4417980 has 96 divisors (see below), whose sum is σ = 14439936. Its totient is φ = 988416.

The previous prime is 4417969. The next prime is 4417981. The reversal of 4417980 is 897144.

4417980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417981) 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, 28062 + ... + 28218.

It is an arithmetic number, because the mean of its divisors is an integer number (150416).

Almost surely, 24417980 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 4417980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219968).

4417980 is an abundant number, since it is smaller than the sum of its proper divisors (10021956).

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

4417980 is a wasteful number, since it uses less digits than its factorization.

4417980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4417980 is about 2101.8991412530. The cubic root of 4417980 is about 164.0871537554.

The spelling of 4417980 in words is "four million, four hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 157 201 210 268 314 335 402 420 469 471 628 670 785 804 938 942 1005 1099 1340 1407 1570 1876 1884 2010 2198 2345 2355 2814 3140 3297 4020 4396 4690 4710 5495 5628 6594 7035 9380 9420 10519 10990 13188 14070 16485 21038 21980 28140 31557 32970 42076 52595 63114 65940 73633 105190 126228 147266 157785 210380 220899 294532 315570 368165 441798 631140 736330 883596 1104495 1472660 2208990 4417980