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495220992 = 2837251367
BaseRepresentation
bin11101100001000…
…111100100000000
31021111211211111020
4131201013210000
52003234032432
6121050145440
715162210660
oct3541074400
91244754436
10495220992
112345a2952
12119a22280
137b7a0a96
1449ab01a0
152d72222c
hex1d847900

495220992 has 144 divisors (see below), whose sum is σ = 1516419072. Its totient is φ = 140544000.

The previous prime is 495220969. The next prime is 495221021. The reversal of 495220992 is 299022594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349193 + ... + 1349559.

It is an arithmetic number, because the mean of its divisors is an integer number (10530688).

Almost surely, 2495220992 is an apocalyptic number.

495220992 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 495220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758209536).

495220992 is an abundant number, since it is smaller than the sum of its proper divisors (1021198080).

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

495220992 is a wasteful number, since it uses less digits than its factorization.

495220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 495220992 is about 22253.5613329642. The cubic root of 495220992 is about 791.1636922600.

The spelling of 495220992 in words is "four hundred ninety-five million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 251 256 336 367 384 448 502 672 734 753 768 896 1004 1101 1344 1468 1506 1757 1792 2008 2202 2569 2688 2936 3012 3514 4016 4404 5138 5271 5376 5872 6024 7028 7707 8032 8808 10276 10542 11744 12048 14056 15414 16064 17616 20552 21084 23488 24096 28112 30828 32128 35232 41104 42168 46976 48192 56224 61656 64256 70464 82208 84336 92117 93952 96384 112448 123312 140928 164416 168672 184234 192768 224896 246624 276351 281856 328832 337344 368468 449792 493248 552702 644819 657664 674688 736936 986496 1105404 1289638 1349376 1473872 1934457 1972992 2210808 2579276 2947744 3868914 4421616 5158552 5895488 7737828 8843232 10317104 11790976 15475656 17686464 20634208 23581952 30951312 35372928 41268416 61902624 70745856 82536832 123805248 165073664 247610496 495220992