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486034432 = 21013291259
BaseRepresentation
bin11100111110000…
…100110000000000
31020212120002220021
4130332010300000
51443411100212
6120121223224
715021140002
oct3476046000
91225502807
10486034432
1122a398954
12116931b14
1379905550
144879c372
152ca0a307
hex1cf84c00

486034432 has 88 divisors (see below), whose sum is σ = 1083272400. Its totient is φ = 216416256.

The previous prime is 486034363. The next prime is 486034441. The reversal of 486034432 is 234430684.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385419 + ... + 386677.

Almost surely, 2486034432 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 486034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541636200).

486034432 is an abundant number, since it is smaller than the sum of its proper divisors (597237968).

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

486034432 is a wasteful number, since it uses less digits than its factorization.

486034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 486034432 is about 22046.1886048360. The cubic root of 486034432 is about 786.2409851838.

It can be divided in two parts, 48603 and 4432, that added together give a palindrome (53035).

The spelling of 486034432 in words is "four hundred eighty-six million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1024 1259 1508 1664 1856 2518 3016 3328 3712 5036 6032 6656 7424 10072 12064 13312 14848 16367 20144 24128 29696 32734 36511 40288 48256 65468 73022 80576 96512 130936 146044 161152 193024 261872 292088 322304 386048 474643 523744 584176 644608 949286 1047488 1168352 1289216 1898572 2094976 2336704 3797144 4189952 4673408 7594288 8379904 9346816 15188576 16759808 18693632 30377152 37387264 60754304 121508608 243017216 486034432