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50537288025 = 32527221412
BaseRepresentation
bin101111000100010000…
…011101000101011001
311211110000211020020100
4233010100131011121
51312000021204100
635114433250013
73436234601100
oct570420350531
9154400736210
1050537288025
111a483a88544
129964a03909
1349c517c133
142635c31037
1514abb26400
hexbc441d159

50537288025 has 81 divisors (see below), whose sum is σ = 105345534333. Its totient is φ = 23091969600.

The previous prime is 50537287967. The next prime is 50537288063. The reversal of 50537288025 is 52088273505.

The square root of 50537288025 is 224805.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8666306649 + 41870981376 = 93093^2 + 204624^2 .

It is not a de Polignac number, because 50537288025 - 29 = 50537287513 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23603455 + ... + 23605595.

Almost surely, 250537288025 is an apocalyptic number.

50537288025 is the 224805-th square number.

50537288025 is the 112403-rd centered octagonal number.

It is an amenable number.

50537288025 is an abundant number, since it is smaller than the sum of its proper divisors (54808246308).

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

50537288025 is an equidigital number, since it uses as much as digits as its factorization.

50537288025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 50537288025 in words is "fifty billion, five hundred thirty-seven million, two hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2141 2205 3675 6423 10705 11025 14987 19269 32115 44961 53525 74935 96345 104909 134883 160575 224805 314727 374675 481725 524545 674415 944181 1124025 1573635 2622725 3372075 4583881 4720905 7868175 13751643 22919405 23604525 32087167 41254929 68758215 96261501 114597025 160435835 206274645 224610169 288784503 343791075 481307505 673830507 802179175 1031373225 1123050845 1443922515 2021491521 2406537525 3369152535 5615254225 7219612575 10107457605 16845762675 50537288025