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4246080 = 26354423
BaseRepresentation
bin10000001100101001000000
321222201112020
4100030221000
52041333310
6231001440
751043146
oct20145100
97881466
104246080
112440163
121509280
13b58897
147c7596
1558d170
hex40ca40

4246080 has 56 divisors (see below), whose sum is σ = 13484352. Its totient is φ = 1132032.

The previous prime is 4246061. The next prime is 4246087. The reversal of 4246080 is 806424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 46 + 29 + 411 + 66 + 0 + 83 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4246080.

It is not an unprimeable number, because it can be changed into a prime (4246087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (240792).

Almost surely, 24246080 is an apocalyptic number.

4246080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4246080 is an abundant number, since it is smaller than the sum of its proper divisors (9238272).

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

4246080 is a wasteful number, since it uses less digits than its factorization.

4246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4246080 is about 2060.6018538281. The cubic root of 4246080 is about 161.9307736534.

The spelling of 4246080 in words is "four million, two hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4423 8846 13269 17692 22115 26538 35384 44230 53076 66345 70768 88460 106152 132690 141536 176920 212304 265380 283072 353840 424608 530760 707680 849216 1061520 1415360 2123040 4246080