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490696920 = 233357471381
BaseRepresentation
bin11101001111110…
…111000011011000
31021012022222122000
4131033313003120
52001104300140
6120405201000
715105566160
oct3517670330
91235288560
10490696920
11231a9294a
12118400160
137a87880c
14492535a0
152d12ba30
hex1d3f70d8

490696920 has 256 divisors, whose sum is σ = 1910476800. Its totient is φ = 109693440.

The previous prime is 490696909. The next prime is 490696933. The reversal of 490696920 is 29696094.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 354630 + ... + 356010.

It is an arithmetic number, because the mean of its divisors is an integer number (7462800).

Almost surely, 2490696920 is an apocalyptic number.

490696920 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 490696920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955238400).

490696920 is an abundant number, since it is smaller than the sum of its proper divisors (1419779880).

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

490696920 is a wasteful number, since it uses less digits than its factorization.

490696920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 490696920 is about 22151.6798460072. The cubic root of 490696920 is about 788.7471033805.

The spelling of 490696920 in words is "four hundred ninety million, six hundred ninety-six thousand, nine hundred twenty".