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51961984 = 27677383
BaseRepresentation
bin1100011000111…
…0000010000000
310121202221102221
43012032002000
5101300240414
65053420424
71200445444
oct306160200
9117687387
1051961984
1127370898
121549a714
13a9c4449
146c88824
154866224
hex318e080

51961984 has 64 divisors (see below), whose sum is σ = 107785440. Its totient is φ = 24938496.

The previous prime is 51961967. The next prime is 51961999. The reversal of 51961984 is 48916915.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 51961984.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626007 + ... + 626089.

Almost surely, 251961984 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 51961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892720).

51961984 is an abundant number, since it is smaller than the sum of its proper divisors (55823456).

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

51961984 is an equidigital number, since it uses as much as digits as its factorization.

51961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The square root of 51961984 is about 7208.4661336515. The cubic root of 51961984 is about 373.1601350811.

The spelling of 51961984 in words is "fifty-one million, nine hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 73 83 128 134 146 166 268 292 332 536 584 664 1072 1168 1328 2144 2336 2656 4288 4672 4891 5312 5561 6059 8576 9344 9782 10624 11122 12118 19564 22244 24236 39128 44488 48472 78256 88976 96944 156512 177952 193888 313024 355904 387776 405953 626048 711808 775552 811906 1623812 3247624 6495248 12990496 25980992 51961984