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4924293456 = 2433128111777
BaseRepresentation
bin1001001011000001…
…01100000101010000
3110201011221000201010
410211200230011100
540041104342311
62132344410520
7233012542455
oct44540540520
913634830633
104924293456
1120a76a9615
12b55176a40
13606272814
14349dd582c
151dc49eda6
hex12582c150

4924293456 has 80 divisors (see below), whose sum is σ = 13179299328. Its totient is φ = 1582694400.

The previous prime is 4924293443. The next prime is 4924293553. The reversal of 4924293456 is 6543924294.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412240 + ... + 424016.

Almost surely, 24924293456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4924293456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589649664).

4924293456 is an abundant number, since it is smaller than the sum of its proper divisors (8255005872).

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

4924293456 is a wasteful number, since it uses less digits than its factorization.

4924293456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12094 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 4924293456 is about 70173.3101399670. The cubic root of 4924293456 is about 1701.3015932705.

The spelling of 4924293456 in words is "four billion, nine hundred twenty-four million, two hundred ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 281 372 496 562 744 843 1124 1488 1686 2248 3372 4496 6744 8711 11777 13488 17422 23554 26133 34844 35331 47108 52266 69688 70662 94216 104532 139376 141324 188432 209064 282648 365087 418128 565296 730174 1095261 1460348 2190522 2920696 3309337 4381044 5841392 6618674 8762088 9928011 13237348 17524176 19856022 26474696 39712044 52949392 79424088 102589447 158848176 205178894 307768341 410357788 615536682 820715576 1231073364 1641431152 2462146728 4924293456