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490388472 = 2333736619
BaseRepresentation
bin11101001110101…
…011101111111000
31021011202022112000
4131032223233320
52001014412342
6120354421000
715103143000
oct3516535770
91234668460
10490388472
112318a2132
12118291760
137a79b2c2
14491b3000
152d0ba44c
hex1d3abbf8

490388472 has 128 divisors (see below), whose sum is σ = 1588800000. Its totient is φ = 140089824.

The previous prime is 490388467. The next prime is 490388519. The reversal of 490388472 is 274883094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70779 + ... + 77397.

It is an arithmetic number, because the mean of its divisors is an integer number (12412500).

Almost surely, 2490388472 is an apocalyptic number.

490388472 is a gapful number since it is divisible by the number (42) 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 490388472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794400000).

490388472 is an abundant number, since it is smaller than the sum of its proper divisors (1098411528).

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

490388472 is a wasteful number, since it uses less digits than its factorization.

490388472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 490388472 is about 22144.7165707760. The cubic root of 490388472 is about 788.5818021185.

The spelling of 490388472 in words is "four hundred ninety million, three hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 6619 8232 9261 10584 12348 13238 18522 19857 24696 26476 37044 39714 46333 52952 59571 74088 79428 92666 119142 138999 158856 178713 185332 238284 277998 324331 357426 370664 416997 476568 555996 648662 714852 833994 972993 1111992 1250991 1297324 1429704 1667988 1945986 2270317 2501982 2594648 2918979 3335976 3891972 4540634 5003964 5837958 6810951 7783944 8756937 9081268 10007928 11675916 13621902 17513874 18162536 20432853 23351832 27243804 35027748 40865706 54487608 61298559 70055496 81731412 122597118 163462824 245194236 490388472