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4621041024 = 27334692
BaseRepresentation
bin1000100110110111…
…10111110110000000
3102221001022012120120
410103123313312000
533430441303044
62042312540240
7222341125545
oct42333676600
912831265516
104621041024
111a61503576
12a8b6b1680
135884a6502
1431ba16bcc
151c0a4c519
hex1136f7d80

4621041024 has 48 divisors (see below), whose sum is σ = 12278179620. Its totient is φ = 1539902976.

The previous prime is 4621041023. The next prime is 4621041077. The reversal of 4621041024 is 4201401264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4621040985 and 4621041003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621041023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1330362 + ... + 1333830.

Almost surely, 24621041024 is an apocalyptic number.

It is an amenable number.

4621041024 is an abundant number, since it is smaller than the sum of its proper divisors (7657138596).

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

4621041024 is an frugal number, since it uses more digits than its factorization.

4621041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4621041024 is about 67978.2393417188. The cubic root of 4621041024 is about 1665.6353960112.

Multiplying 4621041024 by its sum of digits (24), we get a square (110904984576 = 3330242).

4621041024 divided by its sum of digits (24) gives a square (192543376 = 138762).

Multiplying 4621041024 by its product of nonzero digits (1536), we get a square (7097919012864 = 26641922).

Adding to 4621041024 its reverse (4201401264), we get a palindrome (8822442288).

The spelling of 4621041024 in words is "four billion, six hundred twenty-one million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3469 6938 10407 13876 20814 27752 41628 55504 83256 111008 166512 222016 333024 444032 666048 1332096 12033961 24067922 36101883 48135844 72203766 96271688 144407532 192543376 288815064 385086752 577630128 770173504 1155260256 1540347008 2310520512 4621041024