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1923087852 = 223373122647
BaseRepresentation
bin111001010011111…
…1111110111101100
311222000121222121000
41302213333313230
512414302302402
6514454240300
765440656060
oct16247776754
94860558530
101923087852
118a7595404
12458056090
1324855860a
14143597aa0
15b3c6dc1c
hex729ffdec

1923087852 has 144 divisors (see below), whose sum is σ = 5889999360. Its totient is φ = 531528480.

The previous prime is 1923087827. The next prime is 1923087853. The reversal of 1923087852 is 2587803291.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1923087798 and 1923087807.

It is not an unprimeable number, because it can be changed into a prime (1923087853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725193 + ... + 727839.

Almost surely, 21923087852 is an apocalyptic number.

1923087852 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 1923087852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944999680).

1923087852 is an abundant number, since it is smaller than the sum of its proper divisors (3966911508).

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

1923087852 is a wasteful number, since it uses less digits than its factorization.

1923087852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1923087852 is about 43853.0255740696. The cubic root of 1923087852 is about 1243.5589423214.

The spelling of 1923087852 in words is "one billion, nine hundred twenty-three million, eighty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 961 1116 1302 1674 1922 1953 2604 2647 2883 3348 3844 3906 5294 5766 5859 6727 7812 7941 8649 10588 11532 11718 13454 15882 17298 18529 20181 23436 23823 25947 26908 31764 34596 37058 40362 47646 51894 55587 60543 71469 74116 80724 82057 95292 103788 111174 121086 142938 164114 166761 181629 222348 242172 246171 285876 328228 333522 363258 492342 500283 574399 667044 726516 738513 984684 1000566 1148798 1477026 1723197 2001132 2215539 2297596 2543767 2954052 3446394 4431078 5087534 5169591 6892788 7631301 8862156 10175068 10339182 15262602 15508773 17806369 20678364 22893903 30525204 31017546 35612738 45787806 53419107 62035092 68681709 71225476 91575612 106838214 137363418 160257321 213676428 274726836 320514642 480771963 641029284 961543926 1923087852