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4042480 = 24513323
BaseRepresentation
bin1111011010111011110000
321121101020111
433122323300
52013324410
6222351104
746234441
oct17327360
97541214
104042480
1123111a2
12142b494
13ab7000
147732c8
1554cb8a
hex3daef0

4042480 has 80 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 1427712.

The previous prime is 4042471. The next prime is 4042501. The reversal of 4042480 is 842404.

4042480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 175749 + ... + 175771.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

Almost surely, 24042480 is an apocalyptic number.

4042480 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 4042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

4042480 is an abundant number, since it is smaller than the sum of its proper divisors (6581840).

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

4042480 is a wasteful number, since it uses less digits than its factorization.

4042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4042480 is about 2010.5919526348. The cubic root of 4042480 is about 159.3000675559.

Adding to 4042480 its reverse (842404), we get a palindrome (4884884).

It can be divided in two parts, 40424 and 80, that added together give a palindrome (40504).

The spelling of 4042480 in words is "four million, forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 169 184 208 230 260 299 338 368 460 520 598 676 845 920 1040 1196 1352 1495 1690 1840 2197 2392 2704 2990 3380 3887 4394 4784 5980 6760 7774 8788 10985 11960 13520 15548 17576 19435 21970 23920 31096 35152 38870 43940 50531 62192 77740 87880 101062 155480 175760 202124 252655 310960 404248 505310 808496 1010620 2021240 4042480