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56438740 = 2251927817
BaseRepresentation
bin1101011101001…
…0111111010100
310221012101101201
43113102333110
5103422014430
65333402244
71253502301
oct327227724
9127171351
1056438740
1129949296
1216a99384
13b901007
1476d20a8
154e4c8ca
hex35d2fd4

56438740 has 36 divisors (see below), whose sum is σ = 125103636. Its totient is φ = 21384576.

The previous prime is 56438719. The next prime is 56438761. The reversal of 56438740 is 4783465.

It is an interprime number because it is at equal distance from previous prime (56438719) and next prime (56438761).

It can be written as a sum of positive squares in 2 ways, for example, as 6482116 + 49956624 = 2546^2 + 7068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56438740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3312 + ... + 11128.

It is an arithmetic number, because the mean of its divisors is an integer number (3475101).

Almost surely, 256438740 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 56438740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62551818).

56438740 is an abundant number, since it is smaller than the sum of its proper divisors (68664896).

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

56438740 is a wasteful number, since it uses less digits than its factorization.

56438740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 56438740 is about 7512.5721294374. The cubic root of 56438740 is about 383.5827807205.

It can be divided in two parts, 564 and 38740, that added together give a cube (39304 = 343).

The spelling of 56438740 in words is "fifty-six million, four hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 7817 15634 31268 39085 78170 148523 156340 297046 594092 742615 1485230 2821937 2970460 5643874 11287748 14109685 28219370 56438740