Search a number
-
+
1042386816 = 27319142871
BaseRepresentation
bin111110001000011…
…000111110000000
32200122102201220010
4332020120332000
54113322334231
6251233544520
734555066422
oct7610307600
92618381803
101042386816
11495444709
12251115140
13137c5b243
149c622812
15617a5546
hex3e218f80

1042386816 has 64 divisors (see below), whose sum is σ = 2914588800. Its totient is φ = 329172480.

The previous prime is 1042386809. The next prime is 1042386827. The reversal of 1042386816 is 6186832401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 64140 + ... + 78731.

It is an arithmetic number, because the mean of its divisors is an integer number (45540450).

Almost surely, 21042386816 is an apocalyptic number.

1042386816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1042386816 is an abundant number, since it is smaller than the sum of its proper divisors (1872201984).

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

1042386816 is a wasteful number, since it uses less digits than its factorization.

1042386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142907 (or 142895 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1042386816 is about 32286.0157963165. The cubic root of 1042386816 is about 1013.9338837805.

The spelling of 1042386816 in words is "one billion, forty-two million, three hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 142871 285742 428613 571484 857226 1142968 1714452 2285936 2714549 3428904 4571872 5429098 6857808 8143647 9143744 10858196 13715616 16287294 18287488 21716392 27431232 32574588 43432784 54862464 65149176 86865568 130298352 173731136 260596704 347462272 521193408 1042386816