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4054890528 = 2532131083037
BaseRepresentation
bin1111000110110000…
…1011100000100000
3101110120222210002200
43301230023200200
531301022444103
61510210213200
7202325000163
oct36154134040
911416883080
104054890528
1117a09752a7
12951b84200
134c80ccb10
142a6761ada
1518aeb90a3
hexf1b0b820

4054890528 has 72 divisors (see below), whose sum is σ = 12418113708. Its totient is φ = 1247657472.

The previous prime is 4054890523. The next prime is 4054890533. The reversal of 4054890528 is 8250984504.

4054890528 is a `hidden beast` number, since 40 + 5 + 4 + 89 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (4054890523) and next prime (4054890533).

It can be written as a sum of positive squares in 2 ways, for example, as 3788156304 + 266734224 = 61548^2 + 16332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4054890523) 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 11 ways as a sum of consecutive naturals, for example, 537775 + ... + 545262.

Almost surely, 24054890528 is an apocalyptic number.

4054890528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4054890528 is an abundant number, since it is smaller than the sum of its proper divisors (8363223180).

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

4054890528 is a wasteful number, since it uses less digits than its factorization.

4054890528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083066 (or 1083055 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 4054890528 is about 63678.0223310994. The cubic root of 4054890528 is about 1594.6291958785.

The spelling of 4054890528 in words is "four billion, fifty-four million, eight hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1083037 2166074 3249111 4332148 6498222 8664296 9747333 12996444 14079481 17328592 19494666 25992888 28158962 34657184 38989332 42238443 51985776 56317924 77978664 84476886 103971552 112635848 126715329 155957328 168953772 225271696 253430658 311914656 337907544 450543392 506861316 675815088 1013722632 1351630176 2027445264 4054890528