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4220496 = 243275379
BaseRepresentation
bin10000000110011001010000
321221102102200
4100012121100
52040023441
6230243200
750605440
oct20063120
97842380
104220496
112422a15
1214b6500
13b4a047
147bc120
155857b6
hex406650

4220496 has 120 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1168128.

The previous prime is 4220483. The next prime is 4220497. The reversal of 4220496 is 6940224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53385 + ... + 53463.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 24220496 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 4220496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4220496 is an abundant number, since it is smaller than the sum of its proper divisors (9707184).

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

4220496 is a wasteful number, since it uses less digits than its factorization.

4220496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

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

The square root of 4220496 is about 2054.3845793814. The cubic root of 4220496 is about 161.6048898955.

The spelling of 4220496 in words is "four million, two hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 79 84 106 112 126 144 158 159 168 212 237 252 316 318 336 371 424 474 477 504 553 632 636 711 742 848 948 954 1008 1106 1113 1264 1272 1422 1484 1659 1896 1908 2212 2226 2544 2844 2968 3318 3339 3792 3816 4187 4424 4452 4977 5688 5936 6636 6678 7632 8374 8848 8904 9954 11376 12561 13272 13356 16748 17808 19908 25122 26544 26712 29309 33496 37683 39816 50244 53424 58618 66992 75366 79632 87927 100488 117236 150732 175854 200976 234472 263781 301464 351708 468944 527562 602928 703416 1055124 1406832 2110248 4220496