Search a number
-
+
4229640 = 2332531379
BaseRepresentation
bin10000001000101000001000
321221212222100
4100020220020
52040322030
6230353400
750644212
oct20105010
97855870
104229640
112429878
1214bb860
13b5125c
147c15b2
15588360
hex408a08

4229640 has 96 divisors (see below), whose sum is σ = 14227200. Its totient is φ = 1088640.

The previous prime is 4229639. The next prime is 4229657. The reversal of 4229640 is 469224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10971 + ... + 11349.

It is an arithmetic number, because the mean of its divisors is an integer number (148200).

Almost surely, 24229640 is an apocalyptic number.

4229640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113600).

4229640 is an abundant number, since it is smaller than the sum of its proper divisors (9997560).

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

4229640 is a wasteful number, since it uses less digits than its factorization.

4229640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4229640 is about 2056.6088592632. The cubic root of 4229640 is about 161.7215151456.

The spelling of 4229640 in words is "four million, two hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 379 465 558 620 744 758 930 1116 1137 1240 1395 1516 1860 1895 2232 2274 2790 3032 3411 3720 3790 4548 5580 5685 6822 7580 9096 11160 11370 11749 13644 15160 17055 22740 23498 27288 34110 35247 45480 46996 58745 68220 70494 93992 105741 117490 136440 140988 176235 211482 234980 281976 352470 422964 469960 528705 704940 845928 1057410 1409880 2114820 4229640