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1027148444 = 227231594951
BaseRepresentation
bin111101001110010…
…000101010011100
32122120202112202222
4331032100222130
54100422222234
6245531204512
734311421610
oct7516205234
92576675688
101027148444
11487886913
12247ba6738
13134a5425a
149a5b7340
156029542e
hex3d390a9c

1027148444 has 24 divisors (see below), whose sum is σ = 2143615488. Its totient is φ = 421066800.

The previous prime is 1027148443. The next prime is 1027148461. The reversal of 1027148444 is 4448417201.

1027148444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10271484442 = 2110067852023242272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027148443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796832 + ... + 798119.

It is an arithmetic number, because the mean of its divisors is an integer number (89317312).

Almost surely, 21027148444 is an apocalyptic number.

1027148444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1027148444 is an abundant number, since it is smaller than the sum of its proper divisors (1116467044).

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

1027148444 is a wasteful number, since it uses less digits than its factorization.

1027148444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594985 (or 1594983 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 1027148444 is about 32049.1566815728. The cubic root of 1027148444 is about 1008.9688014522.

The spelling of 1027148444 in words is "one billion, twenty-seven million, one hundred forty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1594951 3189902 6379804 11164657 22329314 36683873 44658628 73367746 146735492 256787111 513574222 1027148444