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427977774 = 2327192972
BaseRepresentation
bin11001100000100…
…110110000101110
31002211022112010200
4121200212300232
51334030242044
6110245014330
713414515420
oct3140466056
91084275120
10427977774
111aa645044
12bb3b43a6
136a888cb3
1440ba8810
152788d369
hex19826c2e

427977774 has 108 divisors (see below), whose sum is σ = 1130116104. Its totient is φ = 114649344.

The previous prime is 427977763. The next prime is 427977821. The reversal of 427977774 is 477779724.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 427977774.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 4412094 + ... + 4412190.

It is an arithmetic number, because the mean of its divisors is an integer number (10464038).

Almost surely, 2427977774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427977774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565058052).

427977774 is an abundant number, since it is smaller than the sum of its proper divisors (702138330).

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

427977774 is a wasteful number, since it uses less digits than its factorization.

427977774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 128 counting only the distinct ones).

The product of its digits is 4840416, while the sum is 54.

The square root of 427977774 is about 20687.6236914731. The cubic root of 427977774 is about 753.5991591096.

The spelling of 427977774 in words is "four hundred twenty-seven million, nine hundred seventy-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 97 114 126 133 171 194 266 291 342 361 399 582 679 722 798 873 1083 1197 1358 1746 1843 2037 2166 2394 2527 3249 3686 4074 5054 5529 6111 6498 7581 9409 11058 12222 12901 15162 16587 18818 22743 25802 28227 33174 35017 38703 45486 56454 65863 70034 77406 84681 105051 116109 131726 169362 178771 197589 210102 232218 245119 315153 357542 395178 490238 536313 592767 630306 735357 1072626 1185534 1251397 1470714 1608939 2206071 2502794 3217878 3396649 3754191 4412142 6793298 7508382 10189947 11262573 20379894 22525146 23776543 30569841 47553086 61139682 71329629 142659258 213988887 427977774