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492090336 = 25332324763
BaseRepresentation
bin11101010101001…
…011001111100000
31021021221210001000
4131111023033200
52001433342321
6120455112000
715123461463
oct3525131740
91237853030
10492090336
11232854831
12118972600
137ac45b1a
14494d72da
152d304826
hex1d54b3e0

492090336 has 96 divisors (see below), whose sum is σ = 1497726720. Its totient is φ = 156892032.

The previous prime is 492090331. The next prime is 492090337. The reversal of 492090336 is 633090294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 492090336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492090331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7491 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (15601320).

Almost surely, 2492090336 is an apocalyptic number.

492090336 is a gapful number since it is divisible by the number (46) 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 492090336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748863360).

492090336 is an abundant number, since it is smaller than the sum of its proper divisors (1005636384).

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

492090336 is a wasteful number, since it uses less digits than its factorization.

492090336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24805 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 492090336 is about 22183.1092500578. The cubic root of 492090336 is about 789.4929909215.

The spelling of 492090336 in words is "four hundred ninety-two million, ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 24763 49526 74289 99052 148578 198104 222867 297156 396208 445734 569549 594312 668601 792416 891468 1139098 1188624 1337202 1708647 1782936 2278196 2377248 2674404 3417294 3565872 4556392 5125941 5348808 6834588 7131744 9112784 10251882 10697616 13669176 15377823 18225568 20503764 21395232 27338352 30755646 41007528 54676704 61511292 82015056 123022584 164030112 246045168 492090336