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497196252 = 223374791373
BaseRepresentation
bin11101101000101…
…001110011011100
31021122120012001000
4131220221303130
52004240240002
6121200350300
715215045520
oct3550516334
91248505030
10497196252
112357219a3
1211a615390
137c012b87
144a065d80
152d9b261c
hex1da29cdc

497196252 has 96 divisors (see below), whose sum is σ = 1477324800. Its totient is φ = 141656256.

The previous prime is 497196251. The next prime is 497196281. The reversal of 497196252 is 252691794.

497196252 is a `hidden beast` number, since 4 + 9 + 7 + 19 + 625 + 2 = 666.

It is a super-2 number, since 2×4971962522 = 494408226005695008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 497196198 and 497196207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497196251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361438 + ... + 362810.

It is an arithmetic number, because the mean of its divisors is an integer number (15388800).

Almost surely, 2497196252 is an apocalyptic number.

497196252 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 497196252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738662400).

497196252 is an abundant number, since it is smaller than the sum of its proper divisors (980128548).

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

497196252 is a wasteful number, since it uses less digits than its factorization.

497196252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 497196252 is about 22297.8979278317. The cubic root of 497196252 is about 792.2141867905.

The spelling of 497196252 in words is "four hundred ninety-seven million, one hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 479 756 958 1373 1437 1916 2746 2874 3353 4119 4311 5492 5748 6706 8238 8622 9611 10059 12357 12933 13412 16476 17244 19222 20118 24714 25866 28833 30177 37071 38444 40236 49428 51732 57666 60354 74142 86499 90531 115332 120708 148284 172998 181062 259497 345996 362124 518994 657667 1037988 1315334 1973001 2630668 3946002 4603669 5919003 7892004 9207338 11838006 13811007 17757009 18414676 23676012 27622014 35514018 41433021 55244028 71028036 82866042 124299063 165732084 248598126 497196252