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1838199672 = 233267834591
BaseRepresentation
bin110110110010000…
…1011001101111000
311202002220012220100
41231210023031320
512231034342142
6502222555400
763360303501
oct15544131570
94662805810
101838199672
11863685691
12433738b60
13233aa631a
141361bbba8
15ab5a1b4c
hex6d90b378

1838199672 has 96 divisors (see below), whose sum is σ = 5114753280. Its totient is φ = 596185920.

The previous prime is 1838199659. The next prime is 1838199673. The reversal of 1838199672 is 2769918381.

1838199672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×18381996723 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838199673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398097 + ... + 402687.

It is an arithmetic number, because the mean of its divisors is an integer number (53278680).

Almost surely, 21838199672 is an apocalyptic number.

1838199672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838199672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557376640).

1838199672 is an abundant number, since it is smaller than the sum of its proper divisors (3276553608).

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

1838199672 is a wasteful number, since it uses less digits than its factorization.

1838199672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4746 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1838199672 is about 42874.2308619058. The cubic root of 1838199672 is about 1224.9853497068.

The spelling of 1838199672 in words is "one billion, eight hundred thirty-eight million, one hundred ninety-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 83 134 166 201 249 268 332 402 498 536 603 664 747 804 996 1206 1494 1608 1992 2412 2988 4591 4824 5561 5976 9182 11122 13773 16683 18364 22244 27546 33366 36728 41319 44488 50049 55092 66732 82638 100098 110184 133464 165276 200196 307597 330552 381053 400392 615194 762106 922791 1143159 1230388 1524212 1845582 2286318 2460776 2768373 3048424 3429477 3691164 4572636 5536746 6858954 7382328 9145272 11073492 13717908 22146984 25530551 27435816 51061102 76591653 102122204 153183306 204244408 229774959 306366612 459549918 612733224 919099836 1838199672