Search a number
-
+
556051056 = 2431110110427
BaseRepresentation
bin100001001001001…
…010101001110000
31102202022022122120
4201021022221300
52114322113211
6131102034240
716531233051
oct4111125160
91382268576
10556051056
11265970430
12136278980
138b27b7c2
1453bc6728
1533c3ad06
hex2124aa70

556051056 has 80 divisors (see below), whose sum is σ = 1582720128. Its totient is φ = 166816000.

The previous prime is 556051021. The next prime is 556051063. The reversal of 556051056 is 650150655.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48115 + ... + 58541.

Almost surely, 2556051056 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 556051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791360064).

556051056 is an abundant number, since it is smaller than the sum of its proper divisors (1026669072).

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

556051056 is a wasteful number, since it uses less digits than its factorization.

556051056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 556051056 is about 23580.7348486005. The cubic root of 556051056 is about 822.3150206545.

It can be divided in two parts, 5560 and 51056, that added together give a triangular number (56616 = T336).

The spelling of 556051056 in words is "five hundred fifty-six million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 10427 13332 17776 20854 26664 31281 41708 53328 62562 83416 114697 125124 166832 229394 250248 344091 458788 500496 688182 917576 1053127 1376364 1835152 2106254 2752728 3159381 4212508 5505456 6318762 8425016 11584397 12637524 16850032 23168794 25275048 34753191 46337588 50550096 69506382 92675176 139012764 185350352 278025528 556051056