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287147742 = 23729710069
BaseRepresentation
bin10001000111011…
…000011011011110
3202000022121122120
4101013120123132
51042002211432
644254323410
710054500300
oct2107303336
9660277576
10287147742
111380a6392
12801b9566
134764ac0b
142a1c9970
151a320c2c
hex111d86de

287147742 has 48 divisors (see below), whose sum is σ = 675012240. Its totient is φ = 81188352.

The previous prime is 287147737. The next prime is 287147767. The reversal of 287147742 is 247741782.

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

It is a junction number, because it is equal to n+sod(n) for n = 287147694 and 287147703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23484 + ... + 33552.

It is an arithmetic number, because the mean of its divisors is an integer number (14062755).

Almost surely, 2287147742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287147742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337506120).

287147742 is an abundant number, since it is smaller than the sum of its proper divisors (387864498).

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

287147742 is a wasteful number, since it uses less digits than its factorization.

287147742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10178 counting only the distinct ones).

The product of its digits is 175616, while the sum is 42.

The square root of 287147742 is about 16945.4342523289. The cubic root of 287147742 is about 659.7333955346.

The spelling of 287147742 in words is "two hundred eighty-seven million, one hundred forty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 147 194 291 294 582 679 1358 2037 4074 4753 9506 10069 14259 20138 28518 30207 60414 70483 140966 211449 422898 493381 976693 986762 1480143 1953386 2930079 2960286 5860158 6836851 13673702 20510553 41021106 47857957 95715914 143573871 287147742