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486047040 = 26352322013
BaseRepresentation
bin11100111110000…
…111110101000000
31020212120202012020
4130332013311000
51443412001130
6120121401440
715021221523
oct3476076500
91225522166
10486047040
1122a3a7376
12116939280
137990b1cb
14487a2bba
152ca0de10
hex1cf87d40

486047040 has 112 divisors (see below), whose sum is σ = 1610368128. Its totient is φ = 123971584.

The previous prime is 486047039. The next prime is 486047041. The reversal of 486047040 is 40740684.

It is an interprime number because it is at equal distance from previous prime (486047039) and next prime (486047041).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 486046992 and 486047010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486047041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11074 + ... + 33086.

Almost surely, 2486047040 is an apocalyptic number.

486047040 is a gapful number since it is divisible by the number (40) 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 486047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805184064).

486047040 is an abundant number, since it is smaller than the sum of its proper divisors (1124321088).

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

486047040 is a wasteful number, since it uses less digits than its factorization.

486047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22056 (or 22046 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 486047040 is about 22046.4745480995. The cubic root of 486047040 is about 786.2477836326.

It can be divided in two parts, 4860 and 47040, that multiplied together give a square (228614400 = 151202).

The spelling of 486047040 in words is "four hundred eighty-six million, forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22013 22080 44026 66039 88052 110065 132078 176104 220130 264156 330195 352208 440260 506299 528312 660390 704416 880520 1012598 1056624 1320780 1408832 1518897 1761040 2025196 2113248 2531495 2641560 3037794 3522080 4050392 4226496 5062990 5283120 6075588 7044160 7594485 8100784 10125980 10566240 12151176 15188970 16201568 20251960 21132480 24302352 30377940 32403136 40503920 48604704 60755880 81007840 97209408 121511760 162015680 243023520 486047040