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486516132 = 22351729443
BaseRepresentation
bin11100111111111…
…010010110100100
31020220110120200000
4130333322112210
51444022004012
6120135421300
715025214244
oct3477722644
91226416600
10486516132
1122a697853
12116b24830
1379a4388b
1448885b24
152caa2ddc
hex1cffa5a4

486516132 has 72 divisors (see below), whose sum is σ = 1350419616. Its totient is φ = 152627328.

The previous prime is 486516113. The next prime is 486516133. The reversal of 486516132 is 231615684.

It is a happy number.

486516132 is a `hidden beast` number, since 4 + 8 + 6 + 516 + 132 = 666.

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 (486516133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803 + ... + 31245.

It is an arithmetic number, because the mean of its divisors is an integer number (18755828).

Almost surely, 2486516132 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 486516132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675209808).

486516132 is an abundant number, since it is smaller than the sum of its proper divisors (863903484).

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

486516132 is a wasteful number, since it uses less digits than its factorization.

486516132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29479 (or 29465 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 486516132 is about 22057.1106902060. The cubic root of 486516132 is about 786.5006425306.

The spelling of 486516132 in words is "four hundred eighty-six million, five hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 29443 58886 88329 117772 176658 264987 353316 500531 529974 794961 1001062 1059948 1501593 1589922 2002124 2384883 3003186 3179844 4504779 4769766 6006372 7154649 9009558 9539532 13514337 14309298 18019116 27028674 28618596 40543011 54057348 81086022 121629033 162172044 243258066 486516132