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56332890 = 23253161331
BaseRepresentation
bin1101011011100…
…1001001011010
310221000000012100
43112321021122
5103410123030
65331224230
71252551555
oct326711132
9127000170
1056332890
1129886809
1216a48076
13b894a93
1476a569c
154e2b360
hex35b925a

56332890 has 96 divisors (see below), whose sum is σ = 154132992. Its totient is φ = 14256000.

The previous prime is 56332889. The next prime is 56332897. The reversal of 56332890 is 9823365.

56332890 is a `hidden beast` number, since 563 + 3 + 2 + 8 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56332897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170025 + ... + 170355.

It is an arithmetic number, because the mean of its divisors is an integer number (1605552).

Almost surely, 256332890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56332890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77066496).

56332890 is an abundant number, since it is smaller than the sum of its proper divisors (97800102).

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

56332890 is a wasteful number, since it uses less digits than its factorization.

56332890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56332890 is about 7505.5239657202. The cubic root of 56332890 is about 383.3428294224.

The spelling of 56332890 in words is "fifty-six million, three hundred thirty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 61 62 90 93 122 155 183 186 279 305 310 331 366 465 549 558 610 662 915 930 993 1098 1395 1655 1830 1891 1986 2745 2790 2979 3310 3782 4965 5490 5673 5958 9455 9930 10261 11346 14895 17019 18910 20191 20522 28365 29790 30783 34038 40382 51305 56730 60573 61566 85095 92349 100955 102610 121146 153915 170190 181719 184698 201910 302865 307830 363438 461745 605730 625921 908595 923490 1251842 1817190 1877763 3129605 3755526 5633289 6259210 9388815 11266578 18777630 28166445 56332890