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508892472 = 2332112712371
BaseRepresentation
bin11110010101010…
…001010100111000
31022110120102020100
4132111101110320
52020234024342
6122255155400
715416341344
oct3625212470
91273512210
10508892472
112412904a0
12122515b60
138157980a
144b82c624
152ea22e4c
hex1e551538

508892472 has 96 divisors (see below), whose sum is σ = 1509730560. Its totient is φ = 153576000.

The previous prime is 508892471. The next prime is 508892473. The reversal of 508892472 is 274298805.

It is an interprime number because it is at equal distance from previous prime (508892471) and next prime (508892473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508892471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213447 + ... + 215817.

It is an arithmetic number, because the mean of its divisors is an integer number (15726360).

Almost surely, 2508892472 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 508892472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754865280).

508892472 is an abundant number, since it is smaller than the sum of its proper divisors (1000838088).

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

508892472 is a wasteful number, since it uses less digits than its factorization.

508892472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 508892472 is about 22558.6451720842. The cubic root of 508892472 is about 798.3782103027.

It can be divided in two parts, 50889 and 2472, that added together give a square (53361 = 2312).

The spelling of 508892472 in words is "five hundred eight million, eight hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 271 396 542 792 813 1084 1626 2168 2371 2439 2981 3252 4742 4878 5962 6504 7113 8943 9484 9756 11924 14226 17886 18968 19512 21339 23848 26081 26829 28452 35772 42678 52162 53658 56904 71544 78243 85356 104324 107316 156486 170712 208648 214632 234729 312972 469458 625944 642541 938916 1285082 1877832 1927623 2570164 3855246 5140328 5782869 7067951 7710492 11565738 14135902 15420984 21203853 23131476 28271804 42407706 46262952 56543608 63611559 84815412 127223118 169630824 254446236 508892472