Search a number
-
+
4129284870 = 2325179972707
BaseRepresentation
bin1111011000011111…
…1110001100000110
3101122202222101221200
43312013332030012
531424044103440
61521424523330
7204220225254
oct36607761406
911582871850
104129284870
111829967927
12972a80546
1350a649839
142b25a95d4
151927b1c30
hexf61fe306

4129284870 has 96 divisors (see below), whose sum is σ = 11383283808. Its totient is φ = 1034947584.

The previous prime is 4129284833. The next prime is 4129284893. The reversal of 4129284870 is 784829214.

4129284870 is a `hidden beast` number, since 412 + 92 + 84 + 8 + 70 = 666.

It is a super-2 number, since 2×41292848702 = 34101987075221833800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1524057 + ... + 1526763.

It is an arithmetic number, because the mean of its divisors is an integer number (118575873).

Almost surely, 24129284870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129284870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691641904).

4129284870 is an abundant number, since it is smaller than the sum of its proper divisors (7253998938).

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

4129284870 is a wasteful number, since it uses less digits than its factorization.

4129284870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4129284870 is about 64259.5119029082. The cubic root of 4129284870 is about 1604.3222806151.

The spelling of 4129284870 in words is "four billion, one hundred twenty-nine million, two hundred eighty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 997 1530 1994 2707 2991 4985 5414 5982 8121 8973 9970 13535 14955 16242 16949 17946 24363 27070 29910 33898 40605 44865 46019 48726 50847 81210 84745 89730 92038 101694 121815 138057 152541 169490 230095 243630 254235 276114 305082 414171 460190 508470 690285 762705 828342 1380570 1525410 2070855 2698879 4141710 5397758 8096637 13494395 16193274 24289911 26988790 40483185 45880943 48579822 80966370 91761886 121449555 137642829 229404715 242899110 275285658 412928487 458809430 688214145 825856974 1376428290 2064642435 4129284870