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50505525 = 345272509
BaseRepresentation
bin1100000010101…
…0011100110101
310112000221120000
43000222130311
5100412134100
65002301513
71152201300
oct300523465
9115027500
1050505525
1126566604
1214ab7899
13a604535
1469c9b37
154679900
hex302a735

50505525 has 90 divisors (see below), whose sum is σ = 109041570. Its totient is φ = 23042880.

The previous prime is 50505523. The next prime is 50505527. The reversal of 50505525 is 52550505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50505523) and next prime (50505527).

It can be written as a sum of positive squares in 3 ways, for example, as 8398404 + 42107121 = 2898^2 + 6489^2 .

It is not a de Polignac number, because 50505525 - 21 = 50505523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50505523) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 98971 + ... + 99479.

It is an arithmetic number, because the mean of its divisors is an integer number (1211573).

Almost surely, 250505525 is an apocalyptic number.

It is an amenable number.

50505525 is an abundant number, since it is smaller than the sum of its proper divisors (58536045).

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

50505525 is a wasteful number, since it uses less digits than its factorization.

50505525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 50505525 is about 7106.7239287874. The cubic root of 50505525 is about 369.6405688939.

The spelling of 50505525 in words is "fifty million, five hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 509 525 567 675 735 945 1225 1323 1527 1575 2025 2205 2545 2835 3563 3675 3969 4581 4725 6615 7635 10689 11025 12725 13743 14175 17815 19845 22905 24941 32067 33075 38175 41229 53445 68715 74823 89075 96201 99225 114525 124705 160335 206145 224469 267225 288603 343575 374115 481005 623525 673407 801675 1030725 1122345 1443015 1870575 2020221 2405025 3367035 5611725 7215075 10101105 16835175 50505525