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484084040 = 235119071213
BaseRepresentation
bin11100110110101…
…000100101001000
31020201220000110112
4130312220211020
51442411142130
6120011333452
714665434506
oct3466504510
91221800415
10484084040
11229286560
12116151288
13793a187b
1448411676
152c772495
hex1cda8948

484084040 has 64 divisors (see below), whose sum is σ = 1190496960. Its totient is φ = 175691520.

The previous prime is 484084031. The next prime is 484084049. The reversal of 484084040 is 40480484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (484084031) and next prime (484084049).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 484083988 and 484084006.

It is not an unprimeable number, because it can be changed into a prime (484084049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398474 + ... + 399686.

It is an arithmetic number, because the mean of its divisors is an integer number (18601515).

Almost surely, 2484084040 is an apocalyptic number.

484084040 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 484084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595248480).

484084040 is an abundant number, since it is smaller than the sum of its proper divisors (706412920).

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

484084040 is a wasteful number, since it uses less digits than its factorization.

484084040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 484084040 is about 22001.9099170958. The cubic root of 484084040 is about 785.1878815168.

The spelling of 484084040 in words is "four hundred eighty-four million, eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 907 1213 1814 2426 3628 4535 4852 6065 7256 9070 9704 9977 12130 13343 18140 19954 24260 26686 36280 39908 48520 49885 53372 66715 79816 99770 106744 133430 199540 266860 399080 533720 1100191 2200382 4400764 5500955 8801528 11001910 12102101 22003820 24204202 44007640 48408404 60510505 96816808 121021010 242042020 484084040