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3728238033 = 313313083737
BaseRepresentation
bin1101111000111000…
…0110010111010001
3100121211100010010010
43132032012113101
530113412104113
61413541025133
7161250333432
oct33616062721
910554303103
103728238033
111643547463
128806b51a9
1347552c910
14275211489
1516c4931c3
hexde3865d1

3728238033 has 16 divisors (see below), whose sum is σ = 5526058496. Its totient is φ = 2220289920.

The previous prime is 3728238013. The next prime is 3728238037. The reversal of 3728238033 is 3308328273.

It is not a de Polignac number, because 3728238033 - 212 = 3728233937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3728237982 and 3728238000.

It is not an unprimeable number, because it can be changed into a prime (3728238037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540660 + ... + 1543077.

It is an arithmetic number, because the mean of its divisors is an integer number (345378656).

Almost surely, 23728238033 is an apocalyptic number.

It is an amenable number.

3728238033 is a deficient number, since it is larger than the sum of its proper divisors (1797820463).

3728238033 is a wasteful number, since it uses less digits than its factorization.

3728238033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083784.

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3728238033 is about 61059.2993163204. The cubic root of 3728238033 is about 1550.6051099748.

The spelling of 3728238033 in words is "three billion, seven hundred twenty-eight million, two hundred thirty-eight thousand, thirty-three".

Divisors: 1 3 13 31 39 93 403 1209 3083737 9251211 40088581 95595847 120265743 286787541 1242746011 3728238033