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486961020 = 22325721331137
BaseRepresentation
bin11101000001100…
…110111101111100
31020221022011221100
4131001212331330
51444130223040
6120153133100
715032046300
oct3501467574
91227264840
10486961020
1122a971027
121170ba190
1379b6b220
144895dd00
152cb3eb30
hex1d066f7c

486961020 has 432 divisors, whose sum is σ = 1924086528. Its totient is φ = 98703360.

The previous prime is 486961009. The next prime is 486961061. The reversal of 486961020 is 20169684.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3554392 + ... + 3554528.

It is an arithmetic number, because the mean of its divisors is an integer number (4453904).

Almost surely, 2486961020 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 486961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962043264).

486961020 is an abundant number, since it is smaller than the sum of its proper divisors (1437125508).

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

486961020 is a wasteful number, since it uses less digits than its factorization.

486961020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 486961020 is about 22067.1932968377. The cubic root of 486961020 is about 786.7403043998.

The spelling of 486961020 in words is "four hundred eighty-six million, nine hundred sixty-one thousand, twenty".