Search a number
-
+
4542560 = 255112989
BaseRepresentation
bin10001010101000001100000
322112210012222
4101111001200
52130330220
6241210212
753416421
oct21250140
98483188
104542560
112622990
121630968
13c30809
14863648
155eae25
hex455060

4542560 has 96 divisors (see below), whose sum is σ = 12247200. Its totient is φ = 1576960.

The previous prime is 4542547. The next prime is 4542581. The reversal of 4542560 is 652454.

4542560 = T131 + T132 + ... + T308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50996 + ... + 51084.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 24542560 is an apocalyptic number.

4542560 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 4542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123600).

4542560 is an abundant number, since it is smaller than the sum of its proper divisors (7704640).

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

4542560 is a wasteful number, since it uses less digits than its factorization.

4542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4542560 is about 2131.3282243709. The cubic root of 4542560 is about 165.6152117154.

The spelling of 4542560 in words is "four million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 89 110 116 145 160 176 178 220 232 290 319 352 356 440 445 464 580 638 712 880 890 928 979 1160 1276 1424 1595 1760 1780 1958 2320 2552 2581 2848 3190 3560 3916 4640 4895 5104 5162 6380 7120 7832 9790 10208 10324 12760 12905 14240 15664 19580 20648 25520 25810 28391 31328 39160 41296 51040 51620 56782 78320 82592 103240 113564 141955 156640 206480 227128 283910 412960 454256 567820 908512 1135640 2271280 4542560