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803444112 = 243231211853
BaseRepresentation
bin101111111000111…
…001010110010000
32001222211012010100
4233320321112100
53121140202422
6211420332400
725624106442
oct5770712620
92058735110
10803444112
113825834a9
121a50a4100
13ca5ba723
14789c4492
154a8077ac
hex2fe39590

803444112 has 120 divisors (see below), whose sum is σ = 2334795008. Its totient is φ = 257644800.

The previous prime is 803444071. The next prime is 803444153. The reversal of 803444112 is 211444308.

It is an interprime number because it is at equal distance from previous prime (803444071) and next prime (803444153).

It is a super-2 number, since 2×8034441122 = 1291044882214937088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941478 + ... + 942330.

Almost surely, 2803444112 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 803444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167397504).

803444112 is an abundant number, since it is smaller than the sum of its proper divisors (1531350896).

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

803444112 is a wasteful number, since it uses less digits than its factorization.

803444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 803444112 is about 28345.0897334971. The cubic root of 803444112 is about 929.6480388591.

The spelling of 803444112 in words is "eight hundred three million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 211 248 279 372 422 496 558 633 744 844 853 1116 1266 1488 1688 1706 1899 2232 2532 2559 3376 3412 3798 4464 5064 5118 6541 6824 7596 7677 10128 10236 13082 13648 15192 15354 19623 20472 26164 26443 30384 30708 39246 40944 52328 52886 58869 61416 78492 79329 104656 105772 117738 122832 156984 158658 179983 211544 235476 237987 313968 317316 359966 423088 470952 475974 539949 634632 719932 941904 951948 1079898 1269264 1439864 1619847 1903896 2159796 2879728 3239694 3807792 4319592 5579473 6479388 8639184 11158946 12958776 16738419 22317892 25917552 33476838 44635784 50215257 66953676 89271568 100430514 133907352 200861028 267814704 401722056 803444112