Search a number
-
+
1838397816 = 2333171074679
BaseRepresentation
bin110110110010011…
…1011100101111000
311202010021021201000
41231210323211320
512231112212231
6502231125000
763362060253
oct15544734570
94663237630
101838397816
11863800542
12433813760
13233b45578
1413623009a
15ab5e06e6
hex6d93b978

1838397816 has 128 divisors (see below), whose sum is σ = 5458752000. Its totient is φ = 571239936.

The previous prime is 1838397773. The next prime is 1838397851. The reversal of 1838397816 is 6187938381.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390565 + ... + 395243.

It is an arithmetic number, because the mean of its divisors is an integer number (42646500).

Almost surely, 21838397816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838397816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729376000).

1838397816 is an abundant number, since it is smaller than the sum of its proper divisors (3620354184).

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

1838397816 is a wasteful number, since it uses less digits than its factorization.

1838397816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4808 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1838397816 is about 42876.5415582927. The cubic root of 1838397816 is about 1225.0293628391.

The spelling of 1838397816 in words is "one billion, eight hundred thirty-eight million, three hundred ninety-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 107 108 136 153 204 214 216 306 321 408 428 459 612 642 856 918 963 1224 1284 1819 1836 1926 2568 2889 3638 3672 3852 4679 5457 5778 7276 7704 9358 10914 11556 14037 14552 16371 18716 21828 23112 28074 32742 37432 42111 43656 49113 56148 65484 79543 84222 98226 112296 126333 130968 159086 168444 196452 238629 252666 318172 336888 392904 477258 500653 505332 636344 715887 954516 1001306 1010664 1431774 1501959 1909032 2002612 2147661 2863548 3003918 4005224 4295322 4505877 5727096 6007836 8511101 8590644 9011754 12015672 13517631 17022202 17181288 18023508 25533303 27035262 34044404 36047016 51066606 54070524 68088808 76599909 102133212 108141048 153199818 204266424 229799727 306399636 459599454 612799272 919198908 1838397816