Search a number
-
+
68809576 = 23112959457
BaseRepresentation
bin1000001100111…
…11001101101000
311210110212222211
410012133031220
5120103401301
610454454504
71463605003
oct406371550
9153425884
1068809576
1135928720
121b064434
1311342a34
1491d253a
156093051
hex419f368

68809576 has 64 divisors (see below), whose sum is σ = 148392000. Its totient is φ = 29621760.

The previous prime is 68809561. The next prime is 68809613. The reversal of 68809576 is 67590886.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150340 + ... + 150796.

It is an arithmetic number, because the mean of its divisors is an integer number (2318625).

Almost surely, 268809576 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 68809576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74196000).

68809576 is an abundant number, since it is smaller than the sum of its proper divisors (79582424).

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

68809576 is a wasteful number, since it uses less digits than its factorization.

68809576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 68809576 is about 8295.1537659045. The cubic root of 68809576 is about 409.7789329763.

The spelling of 68809576 in words is "sixty-eight million, eight hundred nine thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 22 29 44 58 59 88 116 118 232 236 319 457 472 638 649 914 1276 1298 1711 1828 2552 2596 3422 3656 5027 5192 6844 10054 13253 13688 18821 20108 26506 26963 37642 40216 53012 53926 75284 106024 107852 145783 150568 215704 291566 296593 583132 593186 781927 1166264 1186372 1563854 2372744 3127708 6255416 8601197 17202394 34404788 68809576