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50903328 = 2537211359
BaseRepresentation
bin1100001000101…
…1100100100000
310112210011020110
43002023210200
5101012401303
65015011320
71155446130
oct302134440
9115704213
1050903328
1126808473
1215069b40
13a713618
146a90ac0
154707703
hex308b920

50903328 has 96 divisors (see below), whose sum is σ = 153861120. Its totient is φ = 14434560.

The previous prime is 50903311. The next prime is 50903339. The reversal of 50903328 is 82330905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×509033282 = 5182297602951168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 50903295 and 50903304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141613 + ... + 141971.

It is an arithmetic number, because the mean of its divisors is an integer number (1602720).

Almost surely, 250903328 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 50903328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930560).

50903328 is an abundant number, since it is smaller than the sum of its proper divisors (102957792).

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

50903328 is a wasteful number, since it uses less digits than its factorization.

50903328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 50903328 is about 7134.6568242628. The cubic root of 50903328 is about 370.6085141305.

The spelling of 50903328 in words is "fifty million, nine hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 359 422 633 672 718 844 1077 1266 1436 1477 1688 2154 2513 2532 2872 2954 3376 4308 4431 5026 5064 5744 5908 6752 7539 8616 8862 10052 10128 11488 11816 15078 17232 17724 20104 20256 23632 30156 34464 35448 40208 47264 60312 70896 75749 80416 120624 141792 151498 227247 241248 302996 454494 530243 605992 908988 1060486 1211984 1590729 1817976 2120972 2423968 3181458 3635952 4241944 6362916 7271904 8483888 12725832 16967776 25451664 50903328