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4242480 = 2435111607
BaseRepresentation
bin10000001011110000110000
321222112120220
4100023300300
52041224410
6230533040
751026514
oct20136060
97875526
104242480
112438490
121507180
13b57058
147c6144
1558c070
hex40bc30

4242480 has 80 divisors (see below), whose sum is σ = 14356224. Its totient is φ = 1027840.

The previous prime is 4242473. The next prime is 4242517. The reversal of 4242480 is 842424.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4242480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837 + ... + 3443.

Almost surely, 24242480 is an apocalyptic number.

4242480 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 4242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178112).

4242480 is an abundant number, since it is smaller than the sum of its proper divisors (10113744).

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

4242480 is a wasteful number, since it uses less digits than its factorization.

4242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4242480 is about 2059.7281374007. The cubic root of 4242480 is about 161.8849968732.

The spelling of 4242480 in words is "four million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1607 2640 3214 4821 6428 8035 9642 12856 16070 17677 19284 24105 25712 32140 35354 38568 48210 53031 64280 70708 77136 88385 96420 106062 128560 141416 176770 192840 212124 265155 282832 353540 385680 424248 530310 707080 848496 1060620 1414160 2121240 4242480