Search a number
-
+
4662428480 = 26514570089
BaseRepresentation
bin1000101011110011…
…10000001101000000
3110000221011220111022
410111321300031000
534022040202410
62050352005012
7223352662643
oct42571601500
913027156438
104662428480
111a82901586
12aa1530768
13593c37728
1432330ba5a
151c44c5455
hex115e70340

4662428480 has 28 divisors (see below), whose sum is σ = 11102408580. Its totient is φ = 1864971264.

The previous prime is 4662428461. The next prime is 4662428501. The reversal of 4662428480 is 848242664.

It can be written as a sum of positive squares in 2 ways, for example, as 661106944 + 4001321536 = 25712^2 + 63256^2 .

It is a super-2 number, since 2×46624284802 = 43476478662230220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7284725 + ... + 7285364.

Almost surely, 24662428480 is an apocalyptic number.

4662428480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4662428480 is an abundant number, since it is smaller than the sum of its proper divisors (6439980100).

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

4662428480 is a wasteful number, since it uses less digits than its factorization.

4662428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570106 (or 14570096 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 4662428480 is about 68281.9777100810. The cubic root of 4662428480 is about 1670.5932705155.

The spelling of 4662428480 in words is "four billion, six hundred sixty-two million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 14570089 29140178 58280356 72850445 116560712 145700890 233121424 291401780 466242848 582803560 932485696 1165607120 2331214240 4662428480