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498311640 = 233252959809
BaseRepresentation
bin11101101100111…
…010000111011000
31021201122212001200
4131230322013120
52010031433030
6121240314200
715230402421
oct3554720730
91251585050
10498311640
11236313a02
1211aa72960
137c313778
144a276648
152db32d60
hex1db3a1d8

498311640 has 192 divisors, whose sum is σ = 1705860000. Its totient is φ = 125970432.

The previous prime is 498311617. The next prime is 498311641. The reversal of 498311640 is 46113894.

498311640 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 1 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 498311595 and 498311604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498311641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615556 + ... + 616364.

Almost surely, 2498311640 is an apocalyptic number.

498311640 is a gapful number since it is divisible by the number (40) 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 498311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852930000).

498311640 is an abundant number, since it is smaller than the sum of its proper divisors (1207548360).

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

498311640 is a wasteful number, since it uses less digits than its factorization.

498311640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 498311640 is about 22322.8949735468. The cubic root of 498311640 is about 792.8061503954.

It can be divided in two parts, 49 and 8311640, that added together give a square (8311689 = 28832).

The spelling of 498311640 in words is "four hundred ninety-eight million, three hundred eleven thousand, six hundred forty".