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56014428 = 22329533037
BaseRepresentation
bin1101010110101…
…1011001011100
310220101211100110
43111223121130
5103314430203
65320330020
71250054241
oct325533134
9126354313
1056014428
1129689518
1216913910
13b7b2b42
1476215c8
154db6d03
hex356b65c

56014428 has 48 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 17681664.

The previous prime is 56014403. The next prime is 56014429. The reversal of 56014428 is 82441065.

It is a super-2 number, since 2×560144282 = 6275232288334368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56014395 and 56014404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56014429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16926 + ... + 19962.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 256014428 is an apocalyptic number.

56014428 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56014428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

56014428 is an abundant number, since it is smaller than the sum of its proper divisors (81789252).

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

56014428 is a wasteful number, since it uses less digits than its factorization.

56014428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56014428 is about 7484.2787227628. The cubic root of 56014428 is about 382.6190906035.

The spelling of 56014428 in words is "fifty-six million, fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3037 3074 4611 6074 6148 9111 9222 12148 18222 18444 36444 88073 160961 176146 264219 321922 352292 482883 528438 643844 965766 1056876 1931532 4667869 9335738 14003607 18671476 28007214 56014428