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4024253320 = 2354123910267
BaseRepresentation
bin1110111111011101…
…0011101110001000
3101101110100020202021
43233313103232020
531220202101240
61503153414224
7201503405653
oct35767235610
911343306667
104024253320
11178564a09a
1294386a374
134c1963aa9
142a266889a
1518846654a
hexefdd3b88

4024253320 has 64 divisors (see below), whose sum is σ = 9315129600. Its totient is φ = 1563717120.

The previous prime is 4024253287. The next prime is 4024253383. The reversal of 4024253320 is 233524204.

It is a super-2 number, since 2×40242533202 = 32389229567062044800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386827 + ... + 397093.

It is an arithmetic number, because the mean of its divisors is an integer number (145548900).

Almost surely, 24024253320 is an apocalyptic number.

4024253320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657564800).

4024253320 is an abundant number, since it is smaller than the sum of its proper divisors (5290876280).

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

4024253320 is a wasteful number, since it uses less digits than its factorization.

4024253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10558 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4024253320 is about 63437.0027665242. The cubic root of 4024253320 is about 1590.6029015113.

Adding to 4024253320 its reverse (233524204), we get a palindrome (4257777524).

The spelling of 4024253320 in words is "four billion, twenty-four million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 239 328 410 478 820 956 1195 1640 1912 2390 4780 9560 9799 10267 19598 20534 39196 41068 48995 51335 78392 82136 97990 102670 195980 205340 391960 410680 420947 841894 1683788 2104735 2453813 3367576 4209470 4907626 8418940 9815252 12269065 16837880 19630504 24538130 49076260 98152520 100606333 201212666 402425332 503031665 804850664 1006063330 2012126660 4024253320