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4331386752 = 2737211171231
BaseRepresentation
bin1000000100010101…
…11011011110000000
3102011212021020121120
410002022323132000
532332313334002
61553444352240
7212223115500
oct40212733600
912155236546
104331386752
111922a55a80
12a0a6a5680
1354048b754
142d1377a00
151a53d3cbc
hex1022bb780

4331386752 has 384 divisors, whose sum is σ = 15471751680. Its totient is φ = 1057996800.

The previous prime is 4331386729. The next prime is 4331386753. The reversal of 4331386752 is 2576831334.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×43313867522 = 37521822390802219008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331386753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3517977 + ... + 3519207.

It is an arithmetic number, because the mean of its divisors is an integer number (40291020).

Almost surely, 24331386752 is an apocalyptic number.

4331386752 is a gapful number since it is divisible by the number (42) 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 4331386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735875840).

4331386752 is an abundant number, since it is smaller than the sum of its proper divisors (11140364928).

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

4331386752 is a wasteful number, since it uses less digits than its factorization.

4331386752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1271 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 4331386752 is about 65813.2718530237. The cubic root of 4331386752 is about 1630.0802590112.

The spelling of 4331386752 in words is "four billion, three hundred thirty-one million, three hundred eighty-six thousand, seven hundred fifty-two".