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3855122432 = 21576
BaseRepresentation
bin1110010111001000…
…1000000000000000
3100221200002111210022
43211302020000000
530343402404212
61434312353012
7164351000000
oct34562100000
910850074708
103855122432
1116a91305a7
128b70a5768
134958c7245
14288000000
151786a8772
hexe5c88000

3855122432 has 112 divisors (see below), whose sum is σ = 8995137495. Its totient is φ = 1652195328.

The previous prime is 3855122423. The next prime is 3855122441. The reversal of 3855122432 is 2342215583.

The cubic root of 3855122432 is 1568.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3855122423) and next prime (3855122441).

It can be written as a sum of positive squares in only one way, i.e., 1927561216 + 1927561216 = 43904^2 + 43904^2 .

It is a tau number, because it is divible by the number of its divisors (112).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=43904.

It is a Duffinian number.

Its product of digits (57600) is a multiple of the sum of its prime divisors (9).

It is a junction number, because it is equal to n+sod(n) for n = 3855122392 and 3855122401.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 550731773 + ... + 550731779.

Almost surely, 23855122432 is an apocalyptic number.

3855122432 is a gapful number since it is divisible by the number (32) 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 3855122432

3855122432 is an abundant number, since it is smaller than the sum of its proper divisors (5140015063).

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

3855122432 is an frugal number, since it uses more digits than its factorization.

3855122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 9 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 3855122432 is about 62089.6322424284.

The spelling of 3855122432 in words is "three billion, eight hundred fifty-five million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16384 16807 19208 21952 25088 28672 32768 33614 38416 43904 50176 57344 67228 76832 87808 100352 114688 117649 134456 153664 175616 200704 229376 235298 268912 307328 351232 401408 470596 537824 614656 702464 802816 941192 1075648 1229312 1404928 1605632 1882384 2151296 2458624 2809856 3764768 4302592 4917248 5619712 7529536 8605184 9834496 11239424 15059072 17210368 19668992 30118144 34420736 39337984 60236288 68841472 78675968 120472576 137682944 240945152 275365888 481890304 550731776 963780608 1927561216 3855122432