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506998080 = 26325176041
BaseRepresentation
bin11110001110000…
…010110101000000
31022100000011121200
4132032002311000
52014242414310
6122150421200
715364261341
oct3616026500
91270004550
10506998080
11240207186
12121961800
1381065484
144b4980c8
152e79b9c0
hex1e382d40

506998080 has 84 divisors (see below), whose sum is σ = 1743872052. Its totient is φ = 135198720.

The previous prime is 506998061. The next prime is 506998111. The reversal of 506998080 is 80899605.

It can be written as a sum of positive squares in 2 ways, for example, as 192432384 + 314565696 = 13872^2 + 17736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85141 + ... + 90900.

Almost surely, 2506998080 is an apocalyptic number.

It is an amenable number.

506998080 is an abundant number, since it is smaller than the sum of its proper divisors (1236873972).

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

506998080 is a wasteful number, since it uses less digits than its factorization.

506998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176064 (or 176051 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 506998080 is about 22516.6178632582. The cubic root of 506998080 is about 797.3863033703.

The spelling of 506998080 in words is "five hundred six million, nine hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 176041 352082 528123 704164 880205 1056246 1408328 1584369 1760410 2112492 2640615 2816656 3168738 3520820 4224984 5281230 5633312 6337476 7041640 7921845 8449968 10562460 11266624 12674952 14083280 15843690 16899936 21124920 25349904 28166560 31687380 33799872 42249840 50699808 56333120 63374760 84499680 101399616 126749520 168999360 253499040 506998080