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484180992 = 21032107491
BaseRepresentation
bin11100110111000…
…000010000000000
31020202001221110100
4130313000100000
51442422242432
6120013402400
714666320251
oct3467002000
91222057410
10484180992
11229342389
12116199400
1379406a39
1448438b28
152c79107c
hex1cdc0400

484180992 has 132 divisors (see below), whose sum is σ = 1414002096. Its totient is φ = 159559680.

The previous prime is 484180969. The next prime is 484180993. The reversal of 484180992 is 299081484.

484180992 is a `hidden beast` number, since 484 + 1 + 80 + 9 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (484180993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985867 + ... + 986357.

Almost surely, 2484180992 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 484180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707001048).

484180992 is an abundant number, since it is smaller than the sum of its proper divisors (929821104).

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

484180992 is a wasteful number, since it uses less digits than its factorization.

484180992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 484180992 is about 22004.1130700603. The cubic root of 484180992 is about 785.2402969707.

It can be divided in two parts, 484 and 180992, that added together give a square (181476 = 4262).

The spelling of 484180992 in words is "four hundred eighty-four million, one hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 491 512 576 642 768 856 963 982 1024 1152 1284 1473 1536 1712 1926 1964 2304 2568 2946 3072 3424 3852 3928 4419 4608 5136 5892 6848 7704 7856 8838 9216 10272 11784 13696 15408 15712 17676 20544 23568 27392 30816 31424 35352 41088 47136 52537 54784 61632 62848 70704 82176 94272 105074 109568 123264 125696 141408 157611 164352 188544 210148 246528 251392 282816 315222 328704 377088 420296 472833 493056 502784 565632 630444 754176 840592 945666 986112 1131264 1260888 1508352 1681184 1891332 2262528 2521776 3362368 3782664 4525056 5043552 6724736 7565328 10087104 13449472 15130656 20174208 26898944 30261312 40348416 53797888 60522624 80696832 121045248 161393664 242090496 484180992