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4388378020 = 2251329582013
BaseRepresentation
bin1000001011001000…
…10101010110100100
3102022211111200221021
410011210111112210
532441411044040
62003242100524
7213514412005
oct40544252644
912284450837
104388378020
1119521413a4
12a257aa744
1354c2240b0
142d8b711ac
151aa3e024a
hex1059155a4

4388378020 has 48 divisors (see below), whose sum is σ = 10266726960. Its totient is φ = 1564448256.

The previous prime is 4388378017. The next prime is 4388378023. The reversal of 4388378020 is 208738834.

It is an interprime number because it is at equal distance from previous prime (4388378017) and next prime (4388378023).

It can be written as a sum of positive squares in 8 ways, for example, as 35545444 + 4352832576 = 5962^2 + 65976^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4388378023) 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 15 ways as a sum of consecutive naturals, for example, 283467 + ... + 298546.

It is an arithmetic number, because the mean of its divisors is an integer number (213890145).

Almost surely, 24388378020 is an apocalyptic number.

It is an amenable number.

4388378020 is an abundant number, since it is smaller than the sum of its proper divisors (5878348940).

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

4388378020 is a wasteful number, since it uses less digits than its factorization.

4388378020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582064 (or 582062 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 4388378020 is about 66244.8339117852. The cubic root of 4388378020 is about 1637.1985212713.

The spelling of 4388378020 in words is "four billion, three hundred eighty-eight million, three hundred seventy-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 582013 1164026 2328052 2910065 5820130 7566169 11640260 15132338 16878377 30264676 33756754 37830845 67513508 75661690 84391885 151323380 168783770 219418901 337567540 438837802 877675604 1097094505 2194189010 4388378020