Search a number
-
+
2059469776 = 247133534007
BaseRepresentation
bin111101011000001…
…0000001111010000
312022112020220102101
41322300100033100
513204211013101
6540205330144
7102015130030
oct17260201720
95275226371
102059469776
11967576141
12495866954
1326a899b90
141577398c0
15c0c0d401
hex7ac103d0

2059469776 has 80 divisors (see below), whose sum is σ = 4926184704. Its totient is φ = 812224512.

The previous prime is 2059469761. The next prime is 2059469801. The reversal of 2059469776 is 6779649502.

It is a congruent number.

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, 511965 + ... + 515971.

Almost surely, 22059469776 is an apocalyptic number.

2059469776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059469776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463092352).

2059469776 is an abundant number, since it is smaller than the sum of its proper divisors (2866714928).

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

2059469776 is a wasteful number, since it uses less digits than its factorization.

2059469776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The square root of 2059469776 is about 45381.3813804736. The cubic root of 2059469776 is about 1272.2871502081.

The spelling of 2059469776 in words is "two billion, fifty-nine million, four hundred sixty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 353 364 706 728 1412 1456 2471 2824 4007 4589 4942 5648 8014 9178 9884 16028 18356 19768 28049 32056 32123 36712 39536 52091 56098 64112 64246 73424 104182 112196 128492 208364 224392 256984 364637 416728 448784 513968 729274 833456 1414471 1458548 2828942 2917096 5657884 5834192 9901297 11315768 18388123 19802594 22631536 36776246 39605188 73552492 79210376 128716861 147104984 158420752 257433722 294209968 514867444 1029734888 2059469776