Search a number
-
+
55761696 = 253571101
BaseRepresentation
bin1101010010110…
…1101100100000
310212220222200000
43110231230200
5103233333241
65311100000
71244652354
oct324555440
9125828600
1055761696
1129526651
1216811600
13b724ab3
147597464
154d66eb6
hex352db20

55761696 has 144 divisors (see below), whose sum is σ = 168412608. Its totient is φ = 18144000.

The previous prime is 55761691. The next prime is 55761697. The reversal of 55761696 is 69616755.

55761696 is a `hidden beast` number, since 557 + 6 + 1 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55761691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552046 + ... + 552146.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 255761696 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 55761696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304).

55761696 is an abundant number, since it is smaller than the sum of its proper divisors (112650912).

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

55761696 is a wasteful number, since it uses less digits than its factorization.

55761696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 55761696 is about 7467.3754425501. The cubic root of 55761696 is about 382.0427754700.

The spelling of 55761696 in words is "fifty-five million, seven hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 101 108 142 144 162 202 213 216 243 284 288 303 324 404 426 432 486 568 606 639 648 808 852 864 909 972 1136 1212 1278 1296 1616 1704 1818 1917 1944 2272 2424 2556 2592 2727 3232 3408 3636 3834 3888 4848 5112 5454 5751 6816 7171 7272 7668 7776 8181 9696 10224 10908 11502 14342 14544 15336 16362 17253 20448 21513 21816 23004 24543 28684 29088 30672 32724 34506 43026 43632 46008 49086 57368 61344 64539 65448 69012 86052 87264 92016 98172 114736 129078 130896 138024 172104 184032 193617 196344 229472 258156 261792 276048 344208 387234 392688 516312 552096 580851 688416 774468 785376 1032624 1161702 1548936 1742553 2065248 2323404 3097872 3485106 4646808 6195744 6970212 9293616 13940424 18587232 27880848 55761696