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427877112 = 233131989811
BaseRepresentation
bin11001100000001…
…110001011111000
31002211010102001110
4121200032023320
51334014031422
6110242520320
713413616065
oct3140161370
91084112043
10427877112
111aa586453
12bb3660a0
136a852230
1440b7dc6c
152786d60c
hex1980e2f8

427877112 has 128 divisors (see below), whose sum is σ = 1227744000. Its totient is φ = 123171840.

The previous prime is 427877089. The next prime is 427877113. The reversal of 427877112 is 211778724.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427877113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527187 + ... + 527997.

It is an arithmetic number, because the mean of its divisors is an integer number (9591750).

Almost surely, 2427877112 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 427877112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872000).

427877112 is an abundant number, since it is smaller than the sum of its proper divisors (799866888).

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

427877112 is a wasteful number, since it uses less digits than its factorization.

427877112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 937 counting only the distinct ones).

The product of its digits is 43904, while the sum is 39.

The square root of 427877112 is about 20685.1906445167. The cubic root of 427877112 is about 753.5400713475.

The spelling of 427877112 in words is "four hundred twenty-seven million, eight hundred seventy-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 89 104 114 152 156 178 228 247 267 312 356 456 494 534 712 741 811 988 1068 1157 1482 1622 1691 1976 2136 2314 2433 2964 3244 3382 3471 4628 4866 5073 5928 6488 6764 6942 9256 9732 10146 10543 13528 13884 15409 19464 20292 21086 21983 27768 30818 31629 40584 42172 43966 46227 61636 63258 65949 72179 84344 87932 92454 123272 126516 131898 144358 175864 184908 200317 216537 253032 263796 288716 369816 400634 433074 527592 577432 600951 801268 866148 938327 1201902 1371401 1602536 1732296 1876654 2403804 2742802 2814981 3753308 4114203 4807608 5485604 5629962 7506616 8228406 10971208 11259924 16456812 17828213 22519848 32913624 35656426 53484639 71312852 106969278 142625704 213938556 427877112