Search a number
-
+
497532672 = 28337213113
BaseRepresentation
bin11101101001111…
…011111100000000
31021200012021112000
4131221323330000
52004332021142
6121211504000
715220646400
oct3551737400
91250167460
10497532672
1123593172a
1211a758000
137c100040
144a112800
152da2c14c
hex1da7bf00

497532672 has 432 divisors, whose sum is σ = 1859467680. Its totient is φ = 130056192.

The previous prime is 497532667. The next prime is 497532683. The reversal of 497532672 is 276235794.

497532672 is a `hidden beast` number, since 49 + 7 + 532 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402888 + ... + 4403000.

Almost surely, 2497532672 is an apocalyptic number.

497532672 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 497532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929733840).

497532672 is an abundant number, since it is smaller than the sum of its proper divisors (1361935008).

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

497532672 is a wasteful number, since it uses less digits than its factorization.

497532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 497532672 is about 22305.4404125989. The cubic root of 497532672 is about 792.3928262491.

It can be divided in two parts, 49753 and 2672, that added together give a palindrome (52425).

The spelling of 497532672 in words is "four hundred ninety-seven million, five hundred thirty-two thousand, six hundred seventy-two".