Search a number
-
+
51970944 = 273413301
BaseRepresentation
bin1100011001000…
…0001110000000
310121210101201210
43012100032000
5101301032234
65053530120
71200513534
oct306201600
9117711653
1051970944
11273775a3
12154a3940
13a9c854c
146c8bbc4
154868be9
hex3190380

51970944 has 64 divisors (see below), whose sum is σ = 141457680. Its totient is φ = 16896000.

The previous prime is 51970943. The next prime is 51970957. The reversal of 51970944 is 44907915.

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

It is a super-2 number, since 2×519709442 = 5401958040502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51970943) 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, 14094 + ... + 17394.

Almost surely, 251970944 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 51970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70728840).

51970944 is an abundant number, since it is smaller than the sum of its proper divisors (89486736).

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

51970944 is a wasteful number, since it uses less digits than its factorization.

51970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 51970944 is about 7209.0875983026. The cubic root of 51970944 is about 373.1815823162.

The spelling of 51970944 in words is "fifty-one million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3301 3936 5248 6602 7872 9903 13204 15744 19806 26408 39612 52816 79224 105632 135341 158448 211264 270682 316896 406023 422528 541364 633792 812046 1082728 1267584 1624092 2165456 3248184 4330912 6496368 8661824 12992736 17323648 25985472 51970944