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497032992 = 25325929251
BaseRepresentation
bin11101101000000…
…001111100100000
31021122020220002100
4131220001330200
52004220023432
6121153050400
715213465531
oct3550017440
91248226070
10497032992
11235620275
1211a556a00
137bc86781
144a022688
152d97e07c
hex1da01f20

497032992 has 72 divisors (see below), whose sum is σ = 1437443280. Its totient is φ = 162864000.

The previous prime is 497032981. The next prime is 497032999. The reversal of 497032992 is 299230794.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (497032999) 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, 2367 + ... + 31617.

It is an arithmetic number, because the mean of its divisors is an integer number (19964490).

Almost surely, 2497032992 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 497032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718721640).

497032992 is an abundant number, since it is smaller than the sum of its proper divisors (940410288).

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

497032992 is a wasteful number, since it uses less digits than its factorization.

497032992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29326 (or 29315 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 497032992 is about 22294.2367440556. The cubic root of 497032992 is about 792.1274664752.

The spelling of 497032992 in words is "four hundred ninety-seven million, thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 29251 58502 87753 117004 175506 234008 263259 351012 468016 526518 702024 936032 1053036 1404048 1725809 2106072 2808096 3451618 4212144 5177427 6903236 8424288 10354854 13806472 15532281 20709708 27612944 31064562 41419416 55225888 62129124 82838832 124258248 165677664 248516496 497032992