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420650496 = 29367223
BaseRepresentation
bin11001000100101…
…001111000000000
31002022112021000000
4121010221320000
51330141303441
6105424000000
713265320200
oct3104517000
91068467000
10420650496
111a649aa42
12b8a60000
13691c1b26
143dc1c400
1526de22b6
hex19129e00

420650496 has 420 divisors, whose sum is σ = 1529614152. Its totient is φ = 114960384.

The previous prime is 420650437. The next prime is 420650497. The reversal of 420650496 is 694056024.

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 420650496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420650497) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18289141 + ... + 18289163.

Almost surely, 2420650496 is an apocalyptic number.

420650496 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 420650496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764807076).

420650496 is an abundant number, since it is smaller than the sum of its proper divisors (1108963656).

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

420650496 is an frugal number, since it uses more digits than its factorization.

420650496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 420650496 is about 20509.7658689708. The cubic root of 420650496 is about 749.2736648100.

The spelling of 420650496 in words is "four hundred twenty million, six hundred fifty thousand, four hundred ninety-six".