Search a number
-
+
55631856 = 2437331109
BaseRepresentation
bin1101010000110…
…1111111110000
310212200101120010
43110031333300
5103220204411
65304214520
71243602000
oct324157760
9125611503
1055631856
1129448045
121676a440
13b6aa977
147562000
154d3d7a6
hex350dff0

55631856 has 160 divisors (see below), whose sum is σ = 174592000. Its totient is φ = 15240960.

The previous prime is 55631839. The next prime is 55631861. The reversal of 55631856 is 65813655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510330 + ... + 510438.

It is an arithmetic number, because the mean of its divisors is an integer number (1091200).

Almost surely, 255631856 is an apocalyptic number.

55631856 is a gapful number since it is divisible by the number (56) 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 55631856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87296000).

55631856 is an abundant number, since it is smaller than the sum of its proper divisors (118960144).

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

55631856 is a wasteful number, since it uses less digits than its factorization.

55631856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 55631856 is about 7458.6765582106. The cubic root of 55631856 is about 381.7460186854.

The spelling of 55631856 in words is "fifty-five million, six hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 109 112 124 147 168 186 196 217 218 248 294 327 336 343 372 392 434 436 496 588 651 654 686 744 763 784 868 872 1029 1176 1302 1308 1372 1488 1519 1526 1736 1744 2058 2289 2352 2604 2616 2744 3038 3052 3379 3472 4116 4557 4578 5208 5232 5341 5488 6076 6104 6758 8232 9114 9156 10137 10416 10633 10682 12152 12208 13516 16023 16464 18228 18312 20274 21266 21364 23653 24304 27032 31899 32046 36456 36624 37387 40548 42532 42728 47306 54064 63798 64092 70959 72912 74774 81096 85064 85456 94612 112161 127596 128184 141918 149548 162192 165571 170128 189224 224322 255192 256368 283836 299096 331142 378448 448644 496713 510384 567672 598192 662284 897288 993426 1135344 1158997 1324568 1794576 1986852 2317994 2649136 3476991 3973704 4635988 6953982 7947408 9271976 13907964 18543952 27815928 55631856