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56007744 = 26313191181
BaseRepresentation
bin1101010110100…
…1110001000000
310220101111011220
43111221301000
5103314221434
65320235040
71250025612
oct325516100
9126344156
1056007744
11296844a1
121690ba80
13b7acaa0
14761cdb2
154db4d49
hex3569c40

56007744 has 112 divisors (see below), whose sum is σ = 168127680. Its totient is φ = 16312320.

The previous prime is 56007727. The next prime is 56007767. The reversal of 56007744 is 44770065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46834 + ... + 48014.

It is an arithmetic number, because the mean of its divisors is an integer number (1501140).

Almost surely, 256007744 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 56007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84063840).

56007744 is an abundant number, since it is smaller than the sum of its proper divisors (112119936).

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

56007744 is a wasteful number, since it uses less digits than its factorization.

56007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 56007744 is about 7483.8321734256. The cubic root of 56007744 is about 382.6038711453.

The spelling of 56007744 in words is "fifty-six million, seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1181 1216 1248 1482 1824 1976 2362 2496 2964 3543 3648 3952 4724 5928 7086 7904 9448 11856 14172 15353 15808 18896 22439 23712 28344 30706 37792 44878 46059 47424 56688 61412 67317 75584 89756 92118 113376 122824 134634 179512 184236 226752 245648 269268 291707 359024 368472 491296 538536 583414 718048 736944 875121 982592 1077072 1166828 1436096 1473888 1750242 2154144 2333656 2947776 3500484 4308288 4667312 7000968 9334624 14001936 18669248 28003872 56007744