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486148104 = 233213239953
BaseRepresentation
bin11100111110100…
…000100000001000
31020212202212211100
4130332200200020
51443423214404
6120123501400
715022122261
oct3476404010
91225685740
10486148104
1122a4662a2
12116987860
1379945200
14487cb968
152ca2dd39
hex1cfa0808

486148104 has 72 divisors (see below), whose sum is σ = 1425758490. Its totient is φ = 149580288.

The previous prime is 486148097. The next prime is 486148109. The reversal of 486148104 is 401841684.

It can be written as a sum of positive squares in 3 ways, for example, as 306320004 + 179828100 = 17502^2 + 13410^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (486148109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 7809 + ... + 32144.

Almost surely, 2486148104 is an apocalyptic number.

It is an amenable number.

486148104 is an abundant number, since it is smaller than the sum of its proper divisors (939610386).

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

486148104 is a wasteful number, since it uses less digits than its factorization.

486148104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39991 (or 39971 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 486148104 is about 22048.7664961104. The cubic root of 486148104 is about 786.3022748187.

Adding to 486148104 its reverse (401841684), we get a palindrome (887989788).

The spelling of 486148104 in words is "four hundred eighty-six million, one hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 39953 79906 119859 159812 239718 319624 359577 479436 519389 719154 958872 1038778 1438308 1558167 2077556 2876616 3116334 4155112 4674501 6232668 6752057 9349002 12465336 13504114 18698004 20256171 27008228 37396008 40512342 54016456 60768513 81024684 121537026 162049368 243074052 486148104