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56212352 = 277431459
BaseRepresentation
bin1101011001101…
…1101110000000
310220202212211222
43112123232000
5103342243402
65324454212
71251540260
oct326335600
9126685758
1056212352
1129804199
12169aa368
13b851c61
1476737a0
154e057a2
hex359bb80

56212352 has 64 divisors (see below), whose sum is σ = 131049600. Its totient is φ = 23514624.

The previous prime is 56212349. The next prime is 56212357. The reversal of 56212352 is 25321265.

56212352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56212357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37799 + ... + 39257.

It is an arithmetic number, because the mean of its divisors is an integer number (2047650).

Almost surely, 256212352 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 56212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65524800).

56212352 is an abundant number, since it is smaller than the sum of its proper divisors (74837248).

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

56212352 is a wasteful number, since it uses less digits than its factorization.

56212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1511 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 56212352 is about 7497.4897132307. The cubic root of 56212352 is about 383.0692155855.

The spelling of 56212352 in words is "fifty-six million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 1459 2408 2752 2918 4816 5504 5836 9632 10213 11672 19264 20426 23344 38528 40852 46688 62737 81704 93376 125474 163408 186752 250948 326816 439159 501896 653632 878318 1003792 1307264 1756636 2007584 3513272 4015168 7026544 8030336 14053088 28106176 56212352