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503378496 = 2633319397
BaseRepresentation
bin11110000000001…
…111001001000000
31022002012021111000
4132000033021000
52012331102441
6121541052000
715321434535
oct3600171100
91262167430
10503378496
11239164795
121206b7000
1380398aca
144abd4d8c
152e2d42b6
hex1e00f240

503378496 has 112 divisors (see below), whose sum is σ = 1527738880. Its totient is φ = 162362880.

The previous prime is 503378489. The next prime is 503378503. The reversal of 503378496 is 694873305.

It is an interprime number because it is at equal distance from previous prime (503378489) and next prime (503378503).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48870 + ... + 58266.

Almost surely, 2503378496 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 503378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763869440).

503378496 is an abundant number, since it is smaller than the sum of its proper divisors (1024360384).

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

503378496 is a wasteful number, since it uses less digits than its factorization.

503378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 503378496 is about 22436.0980564803. The cubic root of 503378496 is about 795.4841906284.

The spelling of 503378496 in words is "five hundred three million, three hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 9397 13392 17856 18794 26784 28191 37588 53568 56382 75176 84573 112764 150352 169146 225528 253719 291307 300704 338292 451056 507438 582614 601408 676584 873921 902112 1014876 1165228 1353168 1747842 1804224 2029752 2330456 2621763 2706336 3495684 4059504 4660912 5243526 5412672 6991368 7865289 8119008 9321824 10487052 13982736 15730578 16238016 18643648 20974104 27965472 31461156 41948208 55930944 62922312 83896416 125844624 167792832 251689248 503378496