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56137302 = 232131271889
BaseRepresentation
bin1101011000100…
…1011001010110
310220122001220100
43112021121112
5103332343202
65323114530
71251105414
oct326113126
9126561810
1056137302
1129762871
1216972a46
13b826a50
1476542b4
154ddd41c
hex3589656

56137302 has 48 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 17127936.

The previous prime is 56137297. The next prime is 56137307. The reversal of 56137302 is 20373165.

It is a happy number.

56137302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56137297) and next prime (56137307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56137307) 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 23 ways as a sum of consecutive naturals, for example, 28774 + ... + 30662.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 256137302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56137302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

56137302 is an abundant number, since it is smaller than the sum of its proper divisors (75951018).

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

56137302 is a wasteful number, since it uses less digits than its factorization.

56137302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56137302 is about 7492.4830330138. The cubic root of 56137302 is about 382.8986590697.

The spelling of 56137302 in words is "fifty-six million, one hundred thirty-seven thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 1889 2286 3302 3778 4953 5667 9906 11334 14859 17001 24557 29718 34002 49114 73671 147342 221013 239903 442026 479806 719709 1439418 2159127 3118739 4318254 6237478 9356217 18712434 28068651 56137302