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4249480 = 2352331149
BaseRepresentation
bin10000001101011110001000
321222220012011
4100031132020
52041440410
6231025304
751056104
oct20153610
97886164
104249480
112442774
12150b234
13b5a2b1
147c8904
1558e18a
hex40d788

4249480 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1562880.

The previous prime is 4249477. The next prime is 4249481. The reversal of 4249480 is 849424.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4249481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28446 + ... + 28594.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 24249480 is an apocalyptic number.

4249480 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 4249480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4249480 is an abundant number, since it is smaller than the sum of its proper divisors (6118520).

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

4249480 is a wasteful number, since it uses less digits than its factorization.

4249480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4249480 is about 2061.4266904258. The cubic root of 4249480 is about 161.9739835272.

The spelling of 4249480 in words is "four million, two hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 149 155 184 230 248 298 310 460 596 620 713 745 920 1192 1240 1426 1490 2852 2980 3427 3565 4619 5704 5960 6854 7130 9238 13708 14260 17135 18476 23095 27416 28520 34270 36952 46190 68540 92380 106237 137080 184760 212474 424948 531185 849896 1062370 2124740 4249480