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554268880 = 245112937587
BaseRepresentation
bin100001000010010…
…111100011010000
31102121221202222001
4201002113203100
52113343101010
6130555523344
716510131154
oct4102274320
91377852861
10554268880
11264963460
12135759554
138aaa6569
1453881064
15339d7c3a
hex210978d0

554268880 has 160 divisors (see below), whose sum is σ = 1496154240. Its totient is φ = 189020160.

The previous prime is 554268877. The next prime is 554268889. The reversal of 554268880 is 88862455.

It is a self number, because there is not a number n which added to its sum of digits gives 554268880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554268889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 943947 + ... + 944533.

It is an arithmetic number, because the mean of its divisors is an integer number (9350964).

Almost surely, 2554268880 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 554268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

554268880 is an abundant number, since it is smaller than the sum of its proper divisors (941885360).

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

554268880 is a wasteful number, since it uses less digits than its factorization.

554268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 554268880 is about 23542.9157072781. The cubic root of 554268880 is about 821.4355579062.

The spelling of 554268880 in words is "five hundred fifty-four million, two hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 37 40 44 55 58 74 80 88 110 116 145 148 176 185 220 232 290 296 319 370 407 440 464 580 587 592 638 740 814 880 1073 1160 1174 1276 1480 1595 1628 2035 2146 2320 2348 2552 2935 2960 3190 3256 4070 4292 4696 5104 5365 5870 6380 6457 6512 8140 8584 9392 10730 11740 11803 12760 12914 16280 17023 17168 21460 21719 23480 23606 25520 25828 32285 32560 34046 42920 43438 46960 47212 51656 59015 64570 68092 85115 85840 86876 94424 103312 108595 118030 129140 136184 170230 173752 187253 188848 217190 236060 238909 258280 272368 340460 347504 374506 434380 472120 477818 516560 629851 680920 749012 868760 936265 944240 955636 1194545 1259702 1361840 1498024 1737520 1872530 1911272 2389090 2519404 2996048 3149255 3745060 3822544 4778180 5038808 6298510 6928361 7490120 9556360 10077616 12597020 13856722 14980240 19112720 25194040 27713444 34641805 50388080 55426888 69283610 110853776 138567220 277134440 554268880