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503074768 = 24722321213
BaseRepresentation
bin11101111111000…
…100111111010000
31022001121211211211
4131333010333100
52012241343033
6121530345504
715316031200
oct3577047720
91261554754
10503074768
11238a77579
1212058b294
13802c07a1
144ab56400
152e2742cd
hex1dfc4fd0

503074768 has 90 divisors (see below), whose sum is σ = 1186261314. Its totient is φ = 206059392.

The previous prime is 503074751. The next prime is 503074801. The reversal of 503074768 is 867470305.

It can be written as a sum of positive squares in only one way, i.e., 302342544 + 200732224 = 17388^2 + 14168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 503074768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414130 + ... + 415342.

Almost surely, 2503074768 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 503074768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593130657).

503074768 is an abundant number, since it is smaller than the sum of its proper divisors (683186546).

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

503074768 is a wasteful number, since it uses less digits than its factorization.

503074768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 503074768 is about 22429.3283002412. The cubic root of 503074768 is about 795.3241656275.

The spelling of 503074768 in words is "five hundred three million, seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 529 644 784 1058 1127 1213 1288 2116 2254 2426 2576 3703 4232 4508 4852 7406 8464 8491 9016 9704 14812 16982 18032 19408 25921 27899 29624 33964 51842 55798 59248 59437 67928 103684 111596 118874 135856 195293 207368 223192 237748 390586 414736 446384 475496 641677 781172 950992 1283354 1367051 1562344 2566708 2734102 3124688 4491739 5133416 5468204 8983478 10266832 10936408 17966956 21872816 31442173 35933912 62884346 71867824 125768692 251537384 503074768