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492373904 = 241119732017
BaseRepresentation
bin11101010110010…
…000011110010000
31021022111012000112
4131112100132100
52002021431104
6120505140452
715126052301
oct3526203620
91238435015
10492373904
11232a28890
12118a8a728
137b014c09
144956c7a8
152d35d86e
hex1d590790

492373904 has 80 divisors (see below), whose sum is σ = 1111030080. Its totient is φ = 209018880.

The previous prime is 492373891. The next prime is 492373909. The reversal of 492373904 is 409373294.

It is a super-2 number, since 2×4923739042 = 484864122680402432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (492373909) 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 15 ways as a sum of consecutive naturals, for example, 243104 + ... + 245120.

It is an arithmetic number, because the mean of its divisors is an integer number (13887876).

Almost surely, 2492373904 is an apocalyptic number.

492373904 is a gapful number since it is divisible by the number (44) 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 492373904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555515040).

492373904 is an abundant number, since it is smaller than the sum of its proper divisors (618656176).

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

492373904 is a wasteful number, since it uses less digits than its factorization.

492373904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 492373904 is about 22189.4998591676. The cubic root of 492373904 is about 789.6446107516.

The spelling of 492373904 in words is "four hundred ninety-two million, three hundred seventy-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 73 76 88 146 152 176 209 292 304 418 584 803 836 1168 1387 1606 1672 2017 2774 3212 3344 4034 5548 6424 8068 11096 12848 15257 16136 22187 22192 30514 32272 38323 44374 61028 76646 88748 122056 147241 153292 177496 244112 294482 306584 354992 421553 588964 613168 843106 1177928 1619651 1686212 2355856 2797579 3239302 3372424 5595158 6478604 6744848 11190316 12957208 22380632 25914416 30773369 44761264 61546738 123093476 246186952 492373904