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493172064 = 25347211353
BaseRepresentation
bin11101011001010…
…011010101100000
31021100222201220000
4131121103111200
52002223001224
6120534220000
715135615300
oct3531232540
91240881800
10493172064
11233423520
121191b4600
137b2342b8
14496d9600
152d46a0c9
hex1d653560

493172064 has 360 divisors, whose sum is σ = 1845802728. Its totient is φ = 127733760.

The previous prime is 493172041. The next prime is 493172101. The reversal of 493172064 is 460271394.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1396912 + ... + 1397264.

Almost surely, 2493172064 is an apocalyptic number.

493172064 is a gapful number since it is divisible by the number (44) 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 493172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922901364).

493172064 is an abundant number, since it is smaller than the sum of its proper divisors (1352630664).

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

493172064 is a wasteful number, since it uses less digits than its factorization.

493172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 493172064 is about 22207.4776595632. The cubic root of 493172064 is about 790.0710634146.

The spelling of 493172064 in words is "four hundred ninety-three million, one hundred seventy-two thousand, sixty-four".