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486025920 = 26345171103
BaseRepresentation
bin11100111110000…
…010101011000000
31020212112200020000
4130332002223000
51443410312140
6120121120000
715021103122
oct3476025300
91225480200
10486025920
1122a392516
12116929000
1379901703
1448799212
152ca07a30
hex1cf82ac0

486025920 has 280 divisors, whose sum is σ = 1832238144. Its totient is φ = 121872384.

The previous prime is 486025907. The next prime is 486025951. The reversal of 486025920 is 29520684.

It is a happy number.

486025920 is a `hidden beast` number, since 4 + 8 + 60 + 2 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440089 + ... + 441191.

Almost surely, 2486025920 is an apocalyptic number.

486025920 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 486025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916119072).

486025920 is an abundant number, since it is smaller than the sum of its proper divisors (1346212224).

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

486025920 is a wasteful number, since it uses less digits than its factorization.

486025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1130 counting only the distinct ones).

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

The square root of 486025920 is about 22045.9955547487. The cubic root of 486025920 is about 786.2363953016.

The spelling of 486025920 in words is "four hundred eighty-six million, twenty-five thousand, nine hundred twenty".