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72593442 = 2339713859
BaseRepresentation
bin1000101001110…
…11000000100010
312001121010111000
410110323000202
5122040442232
611111532430
71541014455
oct424730042
9161533430
1072593442
1137a82589
122038a116
13120690cc
1498d949c
15658e27c
hex453b022

72593442 has 32 divisors (see below), whose sum is σ = 162993600. Its totient is φ = 23946624.

The previous prime is 72593419. The next prime is 72593449. The reversal of 72593442 is 24439527.

It is a junction number, because it is equal to n+sod(n) for n = 72593397 and 72593406.

It is not an unprimeable number, because it can be changed into a prime (72593449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (5093550).

Almost surely, 272593442 is an apocalyptic number.

72593442 is an abundant number, since it is smaller than the sum of its proper divisors (90400158).

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

72593442 is a wasteful number, since it uses less digits than its factorization.

72593442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13967 (or 13961 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72593442 is about 8520.1785192565. The cubic root of 72593442 is about 417.1566100850.

It can be divided in two parts, 7259 and 3442, that added together give a palindrome (10701).

The spelling of 72593442 in words is "seventy-two million, five hundred ninety-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 13859 27718 41577 83154 124731 249462 374193 748386 1344323 2688646 4032969 8065938 12098907 24197814 36296721 72593442