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4023201024 = 28321746181
BaseRepresentation
bin1110111111001101…
…0010110100000000
3101101101100210021100
43233303102310000
531214414413044
61503115054400
7201461434023
oct35763226400
911341323240
104023201024
111784aa0527
12943441400
134c1685b2b
142a24731ba
15188309869
hexefcd2d00

4023201024 has 54 divisors (see below), whose sum is σ = 11599887026. Its totient is φ = 1341066240.

The previous prime is 4023201019. The next prime is 4023201029. The reversal of 4023201024 is 4201023204.

4023201024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4023201019) and next prime (4023201029).

It can be written as a sum of positive squares in only one way, i.e., 2420640000 + 1602561024 = 49200^2 + 40032^2 .

It is a super-2 number, since 2×40232010242 = 32372292959029297152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4023200988 and 4023201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023201029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 870787 + ... + 875394.

Almost surely, 24023201024 is an apocalyptic number.

It is an amenable number.

4023201024 is an abundant number, since it is smaller than the sum of its proper divisors (7576686002).

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

4023201024 is a wasteful number, since it uses less digits than its factorization.

4023201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746203 (or 1746186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4023201024 is about 63428.7082006247. The cubic root of 4023201024 is about 1590.4642479649.

Adding to 4023201024 its reverse (4201023204), we get a palindrome (8224224228).

The spelling of 4023201024 in words is "four billion, twenty-three million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1746181 3492362 5238543 6984724 10477086 13969448 15715629 20954172 27938896 31431258 41908344 55877792 62862516 83816688 111755584 125725032 167633376 223511168 251450064 335266752 447022336 502900128 670533504 1005800256 1341067008 2011600512 4023201024