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4035252320 = 255119672371
BaseRepresentation
bin1111000010000101…
…0001000001100000
3101102020001001112122
43300201101001200
531231011033240
61504225243412
7201666036011
oct36041210140
911366031478
104035252320
111790881880
12947493568
134c4015288
142a3ccd008
151893da4b5
hexf0851060

4035252320 has 96 divisors (see below), whose sum is σ = 10415091456. Its totient is φ = 1465228800.

The previous prime is 4035252307. The next prime is 4035252329. The reversal of 4035252320 is 232525304.

It is a super-2 number, since 2×40352523202 = 32566522572130764800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4035252320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4035252329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1700735 + ... + 1703105.

It is an arithmetic number, because the mean of its divisors is an integer number (108490536).

Almost surely, 24035252320 is an apocalyptic number.

4035252320 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 4035252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207545728).

4035252320 is an abundant number, since it is smaller than the sum of its proper divisors (6379839136).

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

4035252320 is a wasteful number, since it uses less digits than its factorization.

4035252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 4035252320 is about 63523.6359160903. The cubic root of 4035252320 is about 1592.0507168005.

Adding to 4035252320 its reverse (232525304), we get a palindrome (4267777624).

The spelling of 4035252320 in words is "four billion, thirty-five million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 967 1760 1934 2371 3868 4742 4835 7736 9484 9670 10637 11855 15472 18968 19340 21274 23710 26081 30944 37936 38680 42548 47420 52162 53185 75872 77360 85096 94840 104324 106370 130405 154720 170192 189680 208648 212740 260810 340384 379360 417296 425480 521620 834592 850960 1043240 1701920 2086480 2292757 4172960 4585514 9171028 11463785 18342056 22927570 25220327 36684112 45855140 50440654 73368224 91710280 100881308 126101635 183420560 201762616 252203270 366841120 403525232 504406540 807050464 1008813080 2017626160 4035252320