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51970432 = 2723127139
BaseRepresentation
bin1100011001000…
…0000110000000
310121210101000211
43012100012000
5101301023212
65053523504
71200512203
oct306200600
9117711024
1051970432
1127377178
12154a3594
13a9c8247
146c8b93a
1548689a7
hex3190180

51970432 has 64 divisors (see below), whose sum is σ = 109670400. Its totient is φ = 24482304.

The previous prime is 51970333. The next prime is 51970439. The reversal of 51970432 is 23407915.

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

It is a junction number, because it is equal to n+sod(n) for n = 51970394 and 51970403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51970439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373819 + ... + 373957.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 251970432 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 51970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200).

51970432 is an abundant number, since it is smaller than the sum of its proper divisors (57699968).

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

51970432 is a wasteful number, since it uses less digits than its factorization.

51970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 51970432 is about 7209.0520874800. The cubic root of 51970432 is about 373.1803568263.

The spelling of 51970432 in words is "fifty-one million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 128 139 184 254 278 368 508 556 736 1016 1112 1472 2032 2224 2921 2944 3197 4064 4448 5842 6394 8128 8896 11684 12788 16256 17653 17792 23368 25576 35306 46736 51152 70612 93472 102304 141224 186944 204608 282448 373888 406019 409216 564896 812038 1129792 1624076 2259584 3248152 6496304 12992608 25985216 51970432