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50828288 = 210721013
BaseRepresentation
bin1100000111100…
…1010000000000
310112122100022012
43001321100000
5101003001123
65013232052
71155014300
oct301712000
9115570265
1050828288
1126767055
1215032628
13a6b8414
146a71600
1546e0378
hex3079400

50828288 has 66 divisors (see below), whose sum is σ = 118312506. Its totient is φ = 21762048.

The previous prime is 50828273. The next prime is 50828299. The reversal of 50828288 is 88282805.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 24285184 = 5152^2 + 4928^2 .

It is a super-2 number, since 2×508282882 = 5167029722021888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49670 + ... + 50682.

Almost surely, 250828288 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 50828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59156253).

50828288 is an abundant number, since it is smaller than the sum of its proper divisors (67484218).

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

50828288 is a wasteful number, since it uses less digits than its factorization.

50828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 50828288 is about 7129.3960473521. The cubic root of 50828288 is about 370.4263116370.

The spelling of 50828288 in words is "fifty million, eight hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1013 1024 1568 1792 2026 3136 3584 4052 6272 7091 7168 8104 12544 14182 16208 25088 28364 32416 49637 50176 56728 64832 99274 113456 129664 198548 226912 259328 397096 453824 518656 794192 907648 1037312 1588384 1815296 3176768 3630592 6353536 7261184 12707072 25414144 50828288