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72898644 = 223713241277
BaseRepresentation
bin1000101100001…
…01100001010100
312002011122010210
410112011201110
5122130224034
611122245420
71543425330
oct426054124
9162148123
1072898644
1138170915
12204b6870
1312144cc0
1499787c0
1565ee8e9
hex4585854

72898644 has 96 divisors (see below), whose sum is σ = 210977536. Its totient is φ = 19077120.

The previous prime is 72898627. The next prime is 72898667. The reversal of 72898644 is 44689827.

72898644 is nontrivially palindromic in base 16.

72898644 is a modest number, since divided by 98644 gives 728 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 72898593 and 72898602.

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, 263034 + ... + 263310.

Almost surely, 272898644 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 72898644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105488768).

72898644 is an abundant number, since it is smaller than the sum of its proper divisors (138078892).

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

72898644 is a wasteful number, since it uses less digits than its factorization.

72898644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 72898644 is about 8538.0702737797. The cubic root of 72898644 is about 417.7404048879.

The spelling of 72898644 in words is "seventy-two million, eight hundred ninety-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 241 273 277 364 482 546 554 723 831 964 1092 1108 1446 1662 1687 1939 2892 3133 3324 3374 3601 3878 5061 5817 6266 6748 7202 7756 9399 10122 10803 11634 12532 14404 18798 20244 21606 21931 23268 25207 37596 43212 43862 50414 65793 66757 75621 87724 100828 131586 133514 151242 200271 263172 267028 302484 400542 467299 801084 867841 934598 1401897 1735682 1869196 2603523 2803794 3471364 5207046 5607588 6074887 10414092 12149774 18224661 24299548 36449322 72898644