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55256880 = 24357311061
BaseRepresentation
bin1101001011001…
…0011100110000
310211222100012010
43102302130300
5103121210010
65252202520
71240450530
oct322623460
9124870163
1055256880
1129211348
1216609440
13b5a90a3
1474a54c0
154cb7620
hex34b2730

55256880 has 160 divisors (see below), whose sum is σ = 202272768. Its totient is φ = 12211200.

The previous prime is 55256869. The next prime is 55256881. The reversal of 55256880 is 8865255.

It is not an unprimeable number, because it can be changed into a prime (55256881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51550 + ... + 52610.

Almost surely, 255256880 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 55256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101136384).

55256880 is an abundant number, since it is smaller than the sum of its proper divisors (147015888).

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

55256880 is a wasteful number, since it uses less digits than its factorization.

55256880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 55256880 is about 7433.4971581349. The cubic root of 55256880 is about 380.8863887871.

The spelling of 55256880 in words is "fifty-five million, two hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1061 1085 1240 1302 1488 1680 1736 1860 2122 2170 2480 2604 3183 3255 3472 3720 4244 4340 5208 5305 6366 6510 7427 7440 8488 8680 10416 10610 12732 13020 14854 15915 16976 17360 21220 22281 25464 26040 29708 31830 32891 37135 42440 44562 50928 52080 59416 63660 65782 74270 84880 89124 98673 111405 118832 127320 131564 148540 164455 178248 197346 222810 230237 254640 263128 297080 328910 356496 394692 445620 460474 493365 526256 594160 657820 690711 789384 891240 920948 986730 1151185 1315640 1381422 1578768 1782480 1841896 1973460 2302370 2631280 2762844 3453555 3683792 3946920 4604740 5525688 6907110 7893840 9209480 11051376 13814220 18418960 27628440 55256880