Search a number
-
+
55920384 = 2832131867
BaseRepresentation
bin1101010101010…
…0011100000000
310220020001100100
43111110130000
5103303423014
65314322400
71246213122
oct325243400
9126201310
1055920384
11296248a3
1216889400
13b77c0b0
1475d9212
154d99009
hex3554700

55920384 has 108 divisors (see below), whose sum is σ = 173727736. Its totient is φ = 17197056.

The previous prime is 55920349. The next prime is 55920419. The reversal of 55920384 is 48302955.

55920384 is a `hidden beast` number, since 559 + 20 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (55920349) and next prime (55920419).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29019 + ... + 30885.

Almost surely, 255920384 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 55920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86863868).

55920384 is an abundant number, since it is smaller than the sum of its proper divisors (117807352).

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

55920384 is a wasteful number, since it uses less digits than its factorization.

55920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55920384 is about 7477.9933137173. The cubic root of 55920384 is about 382.4048411238.

The spelling of 55920384 in words is "fifty-five million, nine hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1867 1872 2304 2496 3328 3734 3744 4992 5601 7468 7488 9984 11202 14936 14976 16803 22404 24271 29872 29952 33606 44808 48542 59744 67212 72813 89616 97084 119488 134424 145626 179232 194168 218439 238976 268848 291252 358464 388336 436878 477952 537696 582504 716928 776672 873756 1075392 1165008 1433856 1553344 1747512 2150784 2330016 3106688 3495024 4301568 4660032 6213376 6990048 9320064 13980096 18640128 27960192 55920384