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494624 = 25132941
BaseRepresentation
bin1111000110000100000
3221010111102
41320300200
5111311444
614333532
74130024
oct1706040
9833442
10494624
11308689
121ba2a8
131441a0
14cc384
159b84e
hex78c20

494624 has 48 divisors (see below), whose sum is σ = 1111320. Its totient is φ = 215040.

The previous prime is 494621. The next prime is 494639. The reversal of 494624 is 426494.

It can be written as a sum of positive squares in 4 ways, for example, as 211600 + 283024 = 460^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12044 + ... + 12084.

2494624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555660).

494624 is an abundant number, since it is smaller than the sum of its proper divisors (616696).

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

494624 is a wasteful number, since it uses less digits than its factorization.

494624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 494624 is about 703.2951016465. The cubic root of 494624 is about 79.0845646832.

It can be divided in two parts, 49 and 4624, that multiplied together give a square (226576 = 4762).

The spelling of 494624 in words is "four hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 41 52 58 82 104 116 164 208 232 328 377 416 464 533 656 754 928 1066 1189 1312 1508 2132 2378 3016 4264 4756 6032 8528 9512 12064 15457 17056 19024 30914 38048 61828 123656 247312 494624