Search a number
-
+
56886480 = 24325711287
BaseRepresentation
bin1101100100000…
…0010011010000
310222001010120200
43121000103100
5104030331410
65351135200
71260345540
oct331002320
9128033520
1056886480
112a124722
1217074500
13ba29a51
1477ab320
154eda3c0
hex36404d0

56886480 has 120 divisors (see below), whose sum is σ = 218355072. Its totient is φ = 13001472.

The previous prime is 56886469. The next prime is 56886503. The reversal of 56886480 is 8468865.

56886480 is a `hidden beast` number, since 568 + 8 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604 + ... + 10683.

Almost surely, 256886480 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 56886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109177536).

56886480 is an abundant number, since it is smaller than the sum of its proper divisors (161468592).

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

56886480 is a wasteful number, since it uses less digits than its factorization.

56886480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 56886480 is about 7542.3126426846. The cubic root of 56886480 is about 384.5944568716.

The spelling of 56886480 in words is "fifty-six million, eight hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 11287 22574 33861 45148 56435 67722 79009 90296 101583 112870 135444 158018 169305 180592 203166 225740 237027 270888 316036 338610 395045 406332 451480 474054 507915 541776 632072 677220 711081 790090 812664 902960 948108 1015830 1185135 1264144 1354440 1422162 1580180 1625328 1896216 2031660 2370270 2708880 2844324 3160360 3555405 3792432 4063320 4740540 5688648 6320720 7110810 8126640 9481080 11377296 14221620 18962160 28443240 56886480