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4414968 = 2332173607
BaseRepresentation
bin10000110101110111111000
322022022012100
4100311313320
52112234333
6234343400
752345425
oct20656770
98268170
104414968
112546038
12158ab60
13bb770c
1482cd4c
155c3213
hex435df8

4414968 has 48 divisors (see below), whose sum is σ = 12664080. Its totient is φ = 1384704.

The previous prime is 4414961. The next prime is 4414999. The reversal of 4414968 is 8694144.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (263835).

Almost surely, 24414968 is an apocalyptic number.

It is an amenable number.

4414968 is an abundant number, since it is smaller than the sum of its proper divisors (8249112).

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

4414968 is a wasteful number, since it uses less digits than its factorization.

4414968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3629 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4414968 is about 2101.1825241992. The cubic root of 4414968 is about 164.0498559507.

The spelling of 4414968 in words is "four million, four hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3607 7214 10821 14428 21642 28856 32463 43284 61319 64926 86568 122638 129852 183957 245276 259704 367914 490552 551871 735828 1103742 1471656 2207484 4414968