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590116842 = 2327231571297
BaseRepresentation
bin100011001011000…
…111011111101010
31112010102001010100
4203023013133222
52202032214332
6134320130230
720423624160
oct4313073752
91463361110
10590116842
11283118577
12145766976
1395348283
1458533230
1536c1967c
hex232c77ea

590116842 has 96 divisors (see below), whose sum is σ = 1535668992. Its totient is φ = 160123392.

The previous prime is 590116823. The next prime is 590116859. The reversal of 590116842 is 248611095.

590116842 is a `hidden beast` number, since 590 + 1 + 1 + 68 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 590116797 and 590116806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454338 + ... + 455634.

It is an arithmetic number, because the mean of its divisors is an integer number (15996552).

Almost surely, 2590116842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 590116842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767834496).

590116842 is an abundant number, since it is smaller than the sum of its proper divisors (945552150).

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

590116842 is a wasteful number, since it uses less digits than its factorization.

590116842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 590116842 is about 24292.3206384240. The cubic root of 590116842 is about 838.7760149861.

The spelling of 590116842 in words is "five hundred ninety million, one hundred sixteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 157 161 207 314 322 414 471 483 942 966 1099 1297 1413 1449 2198 2594 2826 2898 3297 3611 3891 6594 7222 7782 9079 9891 10833 11673 18158 19782 21666 23346 25277 27237 29831 32499 50554 54474 59662 64998 75831 81711 89493 151662 163422 178986 203629 208817 227493 268479 407258 417634 454986 536958 610887 626451 1221774 1252902 1425403 1832661 1879353 2850806 3665322 3758706 4276209 4683467 8552418 9366934 12828627 14050401 25657254 28100802 32784269 42151203 65568538 84302406 98352807 196705614 295058421 590116842