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51963648 = 283116151
BaseRepresentation
bin1100011000111…
…0011100000000
310121210000201120
43012032130000
5101300314043
65053432240
71200453342
oct306163400
9117700646
1051963648
1127372070
121549b680
13a9c5129
146c89292
154866983
hex318e700

51963648 has 72 divisors (see below), whose sum is σ = 150896256. Its totient is φ = 15744000.

The previous prime is 51963641. The next prime is 51963661. The reversal of 51963648 is 84636915.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51963641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5373 + ... + 11523.

Almost surely, 251963648 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 51963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75448128).

51963648 is an abundant number, since it is smaller than the sum of its proper divisors (98932608).

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

51963648 is a wasteful number, since it uses less digits than its factorization.

51963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6167 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 51963648 is about 7208.5815525664. The cubic root of 51963648 is about 373.1641183255.

The spelling of 51963648 in words is "fifty-one million, nine hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6151 8448 12302 18453 24604 36906 49208 67661 73812 98416 135322 147624 196832 202983 270644 295248 393664 405966 541288 590496 787328 811932 1082576 1180992 1574656 1623864 2165152 2361984 3247728 4330304 4723968 6495456 8660608 12990912 17321216 25981824 51963648