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50914944 = 2732193229
BaseRepresentation
bin1100001000111…
…0011010000000
310112210202011200
43002032122000
5101013234234
65015141200
71155525033
oct302163200
9115722150
1050914944
1126816173
1215074800
13a7189b2
146a9501a
15470ad99
hex308e680

50914944 has 96 divisors (see below), whose sum is σ = 147915300. Its totient is φ = 16809984.

The previous prime is 50914937. The next prime is 50914951. The reversal of 50914944 is 44941905.

It is a happy number.

50914944 is a `hidden beast` number, since 509 + 149 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (50914937) and next prime (50914951).

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 788544 = 7080^2 + 888^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50914899 and 50914908.

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, 222222 + ... + 222450.

Almost surely, 250914944 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 50914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73957650).

50914944 is an abundant number, since it is smaller than the sum of its proper divisors (97000356).

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

50914944 is a wasteful number, since it uses less digits than its factorization.

50914944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 50914944 is about 7135.4708323978. The cubic root of 50914944 is about 370.6367026023.

The spelling of 50914944 in words is "fifty million, nine hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 229 288 384 386 458 576 579 687 772 916 1152 1158 1374 1544 1737 1832 2061 2316 2748 3088 3474 3664 4122 4632 5496 6176 6948 7328 8244 9264 10992 12352 13896 14656 16488 18528 21984 24704 27792 29312 32976 37056 43968 44197 55584 65952 74112 87936 88394 111168 131904 132591 176788 222336 263808 265182 353576 397773 530364 707152 795546 1060728 1414304 1591092 2121456 2828608 3182184 4242912 5657216 6364368 8485824 12728736 16971648 25457472 50914944