Search a number
-
+
56487360 = 2635292029
BaseRepresentation
bin1101011101111…
…0110111000000
310221021212002110
43113132313000
5103430043420
65334415320
71254064116
oct327366700
9127255073
1056487360
1129981876
1216b01540
13b91a197
147705ab6
154e5bee0
hex35dedc0

56487360 has 112 divisors (see below), whose sum is σ = 185623200. Its totient is φ = 14536704.

The previous prime is 56487359. The next prime is 56487391. The reversal of 56487360 is 6378465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26826 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (1657350).

Almost surely, 256487360 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 56487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92811600).

56487360 is an abundant number, since it is smaller than the sum of its proper divisors (129135840).

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

56487360 is a wasteful number, since it uses less digits than its factorization.

56487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56487360 is about 7515.8073418629. The cubic root of 56487360 is about 383.6928968215.

The spelling of 56487360 in words is "fifty-six million, four hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2029 2320 2784 3480 4058 4640 5568 6087 6960 8116 9280 10145 12174 13920 16232 20290 24348 27840 30435 32464 40580 48696 58841 60870 64928 81160 97392 117682 121740 129856 162320 176523 194784 235364 243480 294205 324640 353046 389568 470728 486960 588410 649280 706092 882615 941456 973920 1176820 1412184 1765230 1882912 1947840 2353640 2824368 3530460 3765824 4707280 5648736 7060920 9414560 11297472 14121840 18829120 28243680 56487360