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51970048 = 2161361
BaseRepresentation
bin1100011001000…
…0000000000000
310121210100111121
43012100000000
5101301020143
65053522024
71200511114
oct306200000
9117710447
1051970048
1127376959
12154a3314
13a9c8010
146c8b744
1548687ed
hex3190000

51970048 has 68 divisors (see below), whose sum is σ = 113769628. Its totient is φ = 23592960.

The previous prime is 51970033. The next prime is 51970049. The reversal of 51970048 is 84007915.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4194304 + 47775744 = 2048^2 + 6912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51969995 and 51970022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51970049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 851938 + ... + 851998.

Almost surely, 251970048 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 51970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56884814).

51970048 is an abundant number, since it is smaller than the sum of its proper divisors (61799580).

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

51970048 is an frugal number, since it uses more digits than its factorization.

51970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 51970048 is about 7209.0254542483. The cubic root of 51970048 is about 373.1794377036.

The spelling of 51970048 in words is "fifty-one million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 512 793 832 976 1024 1586 1664 1952 2048 3172 3328 3904 4096 6344 6656 7808 8192 12688 13312 15616 16384 25376 26624 31232 32768 50752 53248 62464 65536 101504 106496 124928 203008 212992 249856 406016 425984 499712 812032 851968 999424 1624064 1998848 3248128 3997696 6496256 12992512 25985024 51970048