Search a number
-
+
493024644 = 2235772461
BaseRepresentation
bin11101011000101…
…111010110000100
31021100201020200000
4131120233112010
52002203242034
6120531121300
715134432430
oct3530572604
91240636600
10493024644
11233332792
12119143230
137b1b2178
144969b9c0
152d43b599
hex1d62f584

493024644 has 72 divisors (see below), whose sum is σ = 1477065408. Its totient is φ = 140862240.

The previous prime is 493024613. The next prime is 493024663. The reversal of 493024644 is 446420394.

493024644 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 2 + 4 + 644 = 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 = 493024599 and 493024608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29427 + ... + 43034.

Almost surely, 2493024644 is an apocalyptic number.

It is an amenable number.

493024644 is an abundant number, since it is smaller than the sum of its proper divisors (984040764).

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

493024644 is a wasteful number, since it uses less digits than its factorization.

493024644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72487 (or 72473 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 493024644 is about 22204.1582592090. The cubic root of 493024644 is about 789.9923323509.

The spelling of 493024644 in words is "four hundred ninety-three million, twenty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 72461 144922 217383 289844 434766 507227 652149 869532 1014454 1304298 1521681 1956447 2028908 2608596 3043362 3912894 4565043 5869341 6086724 7825788 9130086 11738682 13695129 17608023 18260172 23477364 27390258 35216046 41085387 54780516 70432092 82170774 123256161 164341548 246512322 493024644