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496983552 = 2931324889
BaseRepresentation
bin11101100111110…
…101111000000000
31021122011101021020
4131213311320000
52004211433202
6121152025440
715213201432
oct3547657000
91248141236
10496983552
1123559710a
1211a532280
137bc6a110
144a00c652
152d96e5bc
hex1d9f5e00

496983552 has 80 divisors (see below), whose sum is σ = 1425898320. Its totient is φ = 152911872.

The previous prime is 496983533. The next prime is 496983607. The reversal of 496983552 is 255389694.

It is a junction number, because it is equal to n+sod(n) for n = 496983495 and 496983504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7524 + ... + 32412.

It is an arithmetic number, because the mean of its divisors is an integer number (17823729).

Almost surely, 2496983552 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 496983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712949160).

496983552 is an abundant number, since it is smaller than the sum of its proper divisors (928914768).

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

496983552 is a wasteful number, since it uses less digits than its factorization.

496983552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24923 (or 24907 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 496983552 is about 22293.1279097394. The cubic root of 496983552 is about 792.1012012298.

The spelling of 496983552 in words is "four hundred ninety-six million, nine hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 24889 49778 74667 99556 149334 199112 298668 323557 398224 597336 647114 796448 970671 1194672 1294228 1592896 1941342 2389344 2588456 3185792 3882684 4778688 5176912 6371584 7765368 9557376 10353824 12743168 15530736 19114752 20707648 31061472 38229504 41415296 62122944 82830592 124245888 165661184 248491776 496983552