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56728770 = 2357337149
BaseRepresentation
bin1101100001100…
…1110011000010
310221202010020120
43120121303002
5104010310040
65343521110
71256121000
oct330316302
9127663216
1056728770
112a02718a
1216bb9196
13b9a3027
147769a70
154ea87d0
hex3619cc2

56728770 has 128 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 12531456.

The previous prime is 56728759. The next prime is 56728783. The reversal of 56728770 is 7782765.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380656 + ... + 380804.

It is an arithmetic number, because the mean of its divisors is an integer number (1282500).

Almost surely, 256728770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56728770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080000).

56728770 is an abundant number, since it is smaller than the sum of its proper divisors (107431230).

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

56728770 is a wasteful number, since it uses less digits than its factorization.

56728770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 56728770 is about 7531.8503702609. The cubic root of 56728770 is about 384.2387160447.

The spelling of 56728770 in words is "fifty-six million, seven hundred twenty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 149 185 210 222 245 259 294 298 343 370 447 490 518 555 686 735 745 777 894 1029 1043 1110 1295 1470 1490 1554 1715 1813 2058 2086 2235 2590 3129 3430 3626 3885 4470 5145 5215 5439 5513 6258 7301 7770 9065 10290 10430 10878 11026 12691 14602 15645 16539 18130 21903 25382 27195 27565 31290 33078 36505 38073 38591 43806 51107 54390 55130 63455 73010 76146 77182 82695 102214 109515 115773 126910 153321 165390 190365 192955 219030 231546 255535 270137 306642 380730 385910 511070 540274 578865 766605 810411 1157730 1350685 1533210 1620822 1890959 2701370 3781918 4052055 5672877 8104110 9454795 11345754 18909590 28364385 56728770