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492940448 = 257112131399
BaseRepresentation
bin11101011000011…
…010110010100000
31021100112222011122
4131120122302200
52002143043243
6120525231412
715133632110
oct3530326240
91240488148
10492940448
11233285500
12119102568
137b182a50
1449679040
152d421668
hex1d61aca0

492940448 has 144 divisors (see below), whose sum is σ = 1313827200. Its totient is φ = 177154560.

The previous prime is 492940447. The next prime is 492940453. The reversal of 492940448 is 844049294.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 492940399 and 492940408.

It is not an unprimeable number, because it can be changed into a prime (492940447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 351653 + ... + 353051.

It is an arithmetic number, because the mean of its divisors is an integer number (9123800).

Almost surely, 2492940448 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 492940448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656913600).

492940448 is an abundant number, since it is smaller than the sum of its proper divisors (820886752).

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

492940448 is a wasteful number, since it uses less digits than its factorization.

492940448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 492940448 is about 22202.2622270795. The cubic root of 492940448 is about 789.9473596287.

The spelling of 492940448 in words is "four hundred ninety-two million, nine hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 416 484 572 616 728 847 968 1001 1144 1232 1399 1456 1573 1694 1936 2002 2288 2464 2798 2912 3146 3388 3872 4004 4576 5596 6292 6776 8008 9793 11011 11192 12584 13552 15389 16016 18187 19586 22022 22384 25168 27104 30778 32032 36374 39172 44044 44768 50336 61556 72748 78344 88088 107723 123112 127309 145496 156688 169279 176176 200057 215446 246224 254618 290992 313376 338558 352352 400114 430892 492448 509236 581984 677116 800228 861784 1018472 1184953 1354232 1400399 1600456 1723568 2036944 2200627 2369906 2708464 2800798 3200912 3447136 4073888 4401254 4739812 5416928 5601596 6401824 8802508 9479624 11203192 15404389 17605016 18959248 22406384 30808778 35210032 37918496 44812768 61617556 70420064 123235112 246470224 492940448