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2593342542 = 2372113251311
BaseRepresentation
bin1001101010010011…
…0100010001001110
320200201211110011210
42122210310101032
520302343430132
61105200155250
7121160022300
oct23244642116
96621743153
102593342542
1111109686aa
12604608b26
1332438191b
141a85cb970
15102a17bcc
hex9a93444e

2593342542 has 96 divisors (see below), whose sum is σ = 6130785024. Its totient is φ = 729120000.

The previous prime is 2593342517. The next prime is 2593342561. The reversal of 2593342542 is 2452433952.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2593342542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8338567 + ... + 8338877.

It is an arithmetic number, because the mean of its divisors is an integer number (63862344).

Almost surely, 22593342542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2593342542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065392512).

2593342542 is an abundant number, since it is smaller than the sum of its proper divisors (3537442482).

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

2593342542 is a wasteful number, since it uses less digits than its factorization.

2593342542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 2593342542 is about 50924.8715462297. The cubic root of 2593342542 is about 1373.8942147814.

The spelling of 2593342542 in words is "two billion, five hundred ninety-three million, three hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 251 294 311 339 502 622 678 753 791 933 1506 1582 1757 1866 2177 2373 3514 4354 4746 5271 5537 6531 10542 11074 12299 13062 15239 16611 24598 28363 30478 33222 35143 36897 45717 56726 70286 73794 78061 85089 91434 105429 156122 170178 198541 210858 234183 246001 397082 468366 492002 546427 595623 738003 1092854 1191246 1389787 1476006 1639281 1722007 2779574 3278562 3444014 3824989 4169361 5166021 7649978 8338722 8820893 10332042 11474967 17641786 22949934 26462679 52925358 61746251 123492502 185238753 370477506 432223757 864447514 1296671271 2593342542