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56760228 = 223272231399
BaseRepresentation
bin1101100010000…
…1011110100100
310221210201101200
43120201132210
5104012311403
65344322500
71256311500
oct330413644
9127721350
1056760228
112a048888
1217013430
13b9b4445
147777300
154eb2ca3
hex36217a4

56760228 has 108 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 15501024.

The previous prime is 56760227. The next prime is 56760241. The reversal of 56760228 is 82206765.

It is a super-2 number, since 2×567602282 = 6443446965223968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 56760192 and 56760201.

It is not an unprimeable number, because it can be changed into a prime (56760227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39873 + ... + 41271.

Almost surely, 256760228 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 56760228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87141600).

56760228 is an abundant number, since it is smaller than the sum of its proper divisors (117522972).

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

56760228 is a wasteful number, since it uses less digits than its factorization.

56760228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56760228 is about 7533.9384122781. The cubic root of 56760228 is about 384.3097273260.

The spelling of 56760228 in words is "fifty-six million, seven hundred sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1399 1449 1764 1932 2254 2798 2898 3381 4197 4508 5596 5796 6762 8394 9793 10143 12591 13524 16788 19586 20286 25182 29379 32177 39172 40572 50364 58758 64354 68551 88137 96531 117516 128708 137102 176274 193062 205653 225239 274204 289593 352548 386124 411306 450478 579186 616959 675717 822612 900956 1158372 1233918 1351434 1576673 2027151 2467836 2702868 3153346 4054302 4730019 6306692 8108604 9460038 14190057 18920076 28380114 56760228