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4542480 = 24345701
BaseRepresentation
bin10001010101000000010000
322112210010000
4101111000100
52130324410
6241210000
753416245
oct21250020
98483100
104542480
112622918
121630900
13c30777
148635cc
155eadc0
hex455010

4542480 has 100 divisors (see below), whose sum is σ = 15799212. Its totient is φ = 1209600.

The previous prime is 4542479. The next prime is 4542491. The reversal of 4542480 is 842454.

4542480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 1679616 = 1692^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6130 + ... + 6830.

Almost surely, 24542480 is an apocalyptic number.

4542480 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 4542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899606).

4542480 is an abundant number, since it is smaller than the sum of its proper divisors (11256732).

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

4542480 is a wasteful number, since it uses less digits than its factorization.

4542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4542480 is about 2131.3094566487. The cubic root of 4542480 is about 165.6142394813.

The spelling of 4542480 in words is "four million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 701 720 810 1080 1296 1402 1620 2103 2160 2804 3240 3505 4206 5608 6309 6480 7010 8412 10515 11216 12618 14020 16824 18927 21030 25236 28040 31545 33648 37854 42060 50472 56080 56781 63090 75708 84120 94635 100944 113562 126180 151416 168240 189270 227124 252360 283905 302832 378540 454248 504720 567810 757080 908496 1135620 1514160 2271240 4542480